दो राशियों के लिए (5x+5y=140) और (6x-6y=24) हैं। ग्राफीय विधि से समाधान कौन सा होगा?
For two quantities, (5x+5y=140) and (6x-6y=24). What will be the solution by graphical method?
#graphical method
#simultaneous equations
#intersection
#numerical
A ((16,12))
B ((12,16))
C ((18,10))
D ((14,14))
Explanation opens after your attempt
Correct Answer
A. ((16,12))
Step 1
Concept
Simplifying gives (x+y=28) and (x-y=4). Their intersection is ((16,12)).
Step 2
Why this answer is correct
The correct answer is A. ((16,12)). Simplifying gives (x+y=28) and (x-y=4). Their intersection is ((16,12)).
Step 3
Exam Tip
सरल करने पर (x+y=28) और (x-y=4) मिलते हैं। इनका प्रतिच्छेद ((16,12)) है।
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ग्राफ में (6x+y=38) और (3x-2y=-1) का समाधान कौन सा है?
What is the solution of (6x+y=38) and (3x-2y=-1) on the graph?
#graphical solution
#substitution
#intersection
#numerical
A ((5,8))
B ((6,2))
C ((4,14))
D ((3,20))
Explanation opens after your attempt
Correct Answer
A. ((5,8))
Step 1
Concept
From the first equation, (y=38-6x). Substituting gives (3x-2(38-6x)=-1), so (x=5), (y=8). This is the graph intersection.
Step 2
Why this answer is correct
The correct answer is A. ((5,8)). From the first equation, (y=38-6x). Substituting gives (3x-2(38-6x)=-1), so (x=5), (y=8). This is the graph intersection.
Step 3
Exam Tip
पहले से (y=38-6x), दूसरे में रखने पर (3x-2(38-6x)=-1), इसलिए (x=5), (y=8)। यही ग्राफ का प्रतिच्छेद है।
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रेखाएं (3x+2y=25) और (x-3y=-11) ग्राफ पर किस बिंदु पर मिलती हैं?
At which point do (3x+2y=25) and (x-3y=-11) meet on the graph?
#graphical solution
#intersection
#substitution
#numerical
A ((5,5))
B ((7,2))
C ((3,8))
D (\(6,\frac{7}{2}\))
Explanation opens after your attempt
Correct Answer
A. ((5,5))
Step 1
Concept
From the second equation, (x=3y-11). Substituting gives (9y-33+2y=25), so (y=5). Then (x=5), so the intersection is ((5,5)).
Step 2
Why this answer is correct
The correct answer is A. ((5,5)). From the second equation, (x=3y-11). Substituting gives (9y-33+2y=25), so (y=5). Then (x=5), so the intersection is ((5,5)).
Step 3
Exam Tip
दूसरे से (x=3y-11), पहले में रखने पर (9y-33+2y=25), इसलिए (y=5)। फिर (x=5), अतः प्रतिच्छेद ((5,5)) है।
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ग्राफ पर (4x-y=13) और (x+2y=14) का समाधान कौन सा है?
What is the solution of (4x-y=13) and (x+2y=14) on the graph?
#graphical solution
#intersection
#substitution
#numerical
A ((4,3))
B ((3,4))
C ((5,2))
D ((2,5))
Explanation opens after your attempt
Correct Answer
A. ((4,3))
Step 1
Concept
From the first equation, (y=4x-13). Substituting gives (x+2(4x-13)=14), so (x=4) and (y=3). The intersection point is the graphical solution.
Step 2
Why this answer is correct
The correct answer is A. ((4,3)). From the first equation, (y=4x-13). Substituting gives (x+2(4x-13)=14), so (x=4) and (y=3). The intersection point is the graphical solution.
Step 3
Exam Tip
पहले से (y=4x-13), दूसरे में रखने पर (x+2(4x-13)=14), इसलिए (x=4) और (y=3)। प्रतिच्छेद बिंदु ही ग्राफीय हल है।
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यदि दो रेखाएं (P(p,q)) पर मिलती हैं और (p+q=17), (p-q=7), तो (P) क्या है?
If two lines meet at (P(p,q)) and (p+q=17), (p-q=7), what is (P)?
#graphical solution
#intersection point
#coordinate reasoning
#numerical
A ((12,5))
B ((5,12))
C ((11,6))
D ((13,4))
Explanation opens after your attempt
Correct Answer
A. ((12,5))
Step 1
Concept
Adding the two equations gives (2p=24), so (p=12) and (q=5). Coordinates of the intersection satisfy both equations together.
Step 2
Why this answer is correct
The correct answer is A. ((12,5)). Adding the two equations gives (2p=24), so (p=12) and (q=5). Coordinates of the intersection satisfy both equations together.
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (2p=24), इसलिए (p=12) और (q=5)। प्रतिच्छेद के निर्देशांक दोनों समीकरणों को साथ-साथ संतुष्ट करते हैं।
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यदि (y=-4) और (5x+2y=17) को ग्राफ किया जाए, तो प्रतिच्छेद बिंदु क्या होगा?
If (y=-4) and (5x+2y=17) are graphed, what will be the intersection point?
#graphical method
#horizontal line
#intersection
#numerical
A ((5,-4))
B ((-4,5))
C ((3,-4))
D ((4,-5))
Explanation opens after your attempt
Correct Answer
A. ((5,-4))
Step 1
Concept
Putting (y=-4) gives (5x-8=17), so (x=5). In a horizontal line, the (y)-coordinate remains fixed.
Step 2
Why this answer is correct
The correct answer is A. ((5,-4)). Putting (y=-4) gives (5x-8=17), so (x=5). In a horizontal line, the (y)-coordinate remains fixed.
Step 3
Exam Tip
(y=-4) रखने पर (5x-8=17), इसलिए (x=5)। क्षैतिज रेखा में (y)-निर्देशांक स्थिर रहता है।
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ग्राफ पर (x=-5) और (3x+2y=9) का समाधान कौन सा है?
What is the graphical solution of (x=-5) and (3x+2y=9)?
#graphical method
#vertical line
#intersection
#numerical
A ((-5,12))
B ((12,-5))
C ((-5,9))
D ((5,12))
Explanation opens after your attempt
Correct Answer
A. ((-5,12))
Step 1
Concept
Putting (x=-5) gives (-15+2y=9), so (y=12). With a vertical line, the (x)-coordinate is already fixed.
Step 2
Why this answer is correct
The correct answer is A. ((-5,12)). Putting (x=-5) gives (-15+2y=9), so (y=12). With a vertical line, the (x)-coordinate is already fixed.
Step 3
Exam Tip
(x=-5) रखने पर (-15+2y=9), इसलिए (y=12)। ऊर्ध्वाधर रेखा के साथ (x)-निर्देशांक पहले से तय रहता है।
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रेखाएं (5x+2y=24) और (x-y=3) ग्राफ पर किस बिंदु पर मिलेंगी?
At which point will the lines (5x+2y=24) and (x-y=3) meet on the graph?
#graphical solution
#intersection
#substitution
#numerical
A ((6,3))
B ((4,6))
C ((3,6))
D ((5,4))
Explanation opens after your attempt
Correct Answer
A. ((6,3))
Step 1
Concept
From (x-y=3), (y=x-3); substituting gives (7x-6=24) and (x=6). Thus (y=3), so the intersection is ((6,3)).
Step 2
Why this answer is correct
The correct answer is A. ((6,3)). From (x-y=3), (y=x-3); substituting gives (7x-6=24) and (x=6). Thus (y=3), so the intersection is ((6,3)).
Step 3
Exam Tip
(x-y=3) से (y=x-3), रखने पर (7x-6=24) और (x=6)। इसलिए (y=3), अतः प्रतिच्छेद ((6,3)) है।
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दो संख्याओं के लिए (2x+y=37) और (x+2y=32) हैं। ग्राफीय विधि से समाधान कौन सा होगा?
For two numbers, (2x+y=37) and (x+2y=32). What will be the solution by graphical method?
#graphical method
#simultaneous equations
#intersection
#numerical
A ((14,9))
B ((9,14))
C ((15,7))
D ((13,11))
Explanation opens after your attempt
Correct Answer
A. ((14,9))
Step 1
Concept
Solving both equations gives (x=14) and (y=9). On the graph, the intersection of the two lines will be ((14,9)).
Step 2
Why this answer is correct
The correct answer is A. ((14,9)). Solving both equations gives (x=14) and (y=9). On the graph, the intersection of the two lines will be ((14,9)).
Step 3
Exam Tip
दोनों समीकरणों को हल करने पर (x=14) और (y=9) मिलता है। ग्राफ में दोनों रेखाओं का प्रतिच्छेद ((14,9)) होगा।
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ग्राफ में (5x+y=27) और (2x-3y=-6) का समाधान कौन सा है?
What is the solution of (5x+y=27) and (2x-3y=-6) on the graph?
#graphical solution
#substitution
#intersection
#numerical
A ((5,2))
B ((6,-3))
C ((4,7))
D ((3,12))
Explanation opens after your attempt
Correct Answer
A. ((5,2))
Step 1
Concept
From the first equation, (y=27-5x). Substituting gives (2x-3(27-5x)=-6), so (x=5), (y=2). This is the graph intersection.
Step 2
Why this answer is correct
The correct answer is A. ((5,2)). From the first equation, (y=27-5x). Substituting gives (2x-3(27-5x)=-6), so (x=5), (y=2). This is the graph intersection.
Step 3
Exam Tip
पहले से (y=27-5x), दूसरे में रखने पर (2x-3(27-5x)=-6), इसलिए (x=5), (y=2)। यही ग्राफ का प्रतिच्छेद है।
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रेखाएं (2x+y=16) और (x-2y=-8) ग्राफ पर किस बिंदु पर मिलती हैं?
At which point do (2x+y=16) and (x-2y=-8) meet on the graph?
#graphical solution
#intersection
#substitution
#numerical
A ((4,8))
B ((8,4))
C ((6,4))
D ((2,12))
Explanation opens after your attempt
Correct Answer
A. ((4,8))
Step 1
Concept
From the first equation, (y=16-2x). Substituting gives (x-2(16-2x)=-8), so (x=4). Then (y=8).
Step 2
Why this answer is correct
The correct answer is A. ((4,8)). From the first equation, (y=16-2x). Substituting gives (x-2(16-2x)=-8), so (x=4). Then (y=8).
Step 3
Exam Tip
पहले से (y=16-2x), दूसरे में रखने पर (x-2(16-2x)=-8), इसलिए (x=4)। फिर (y=8)।
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ग्राफ पर (3x-y=10) और (2x+y=15) का समाधान कौन सा है?
What is the solution of (3x-y=10) and (2x+y=15) on the graph?
#graphical solution
#intersection
#elimination
#numerical
A ((5,5))
B ((4,3))
C ((6,2))
D ((3,4))
Explanation opens after your attempt
Correct Answer
A. ((5,5))
Step 1
Concept
Adding the two equations gives (5x=25), so (x=5) and (y=5). The intersection point is the graphical solution.
Step 2
Why this answer is correct
The correct answer is A. ((5,5)). Adding the two equations gives (5x=25), so (x=5) and (y=5). The intersection point is the graphical solution.
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (5x=25), इसलिए (x=5) और (y=5)। प्रतिच्छेद बिंदु ही ग्राफीय हल है।
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यदि दो रेखाएं (P(p,q)) पर मिलती हैं और (p+q=13), (p-q=5), तो (P) क्या है?
If two lines meet at (P(p,q)) and (p+q=13), (p-q=5), what is (P)?
#graphical solution
#intersection point
#coordinate reasoning
#numerical
A ((9,4))
B ((4,9))
C ((8,5))
D ((10,3))
Explanation opens after your attempt
Correct Answer
A. ((9,4))
Step 1
Concept
Adding the two equations gives (2p=18), so (p=9) and (q=4). Coordinates of the intersection satisfy both equations together.
Step 2
Why this answer is correct
The correct answer is A. ((9,4)). Adding the two equations gives (2p=18), so (p=9) and (q=4). Coordinates of the intersection satisfy both equations together.
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (2p=18), इसलिए (p=9) और (q=4)। प्रतिच्छेद के निर्देशांक दोनों समीकरणों को साथ-साथ संतुष्ट करते हैं।
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यदि (y=-2) और (4x+3y=10) को ग्राफ किया जाए, तो प्रतिच्छेद बिंदु क्या होगा?
If (y=-2) and (4x+3y=10) are graphed, what will be the intersection point?
#graphical method
#horizontal line
#intersection
#numerical
A ((4,-2))
B ((-2,4))
C ((2,-4))
D ((5,-2))
Explanation opens after your attempt
Correct Answer
A. ((4,-2))
Step 1
Concept
Putting (y=-2) gives (4x-6=10), so (x=4). In a horizontal line, the (y)-coordinate remains fixed.
Step 2
Why this answer is correct
The correct answer is A. ((4,-2)). Putting (y=-2) gives (4x-6=10), so (x=4). In a horizontal line, the (y)-coordinate remains fixed.
Step 3
Exam Tip
(y=-2) रखने पर (4x-6=10), इसलिए (x=4)। क्षैतिज रेखा में (y)-निर्देशांक स्थिर रहता है।
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ग्राफ पर (x=-4) और (2x+3y=7) का समाधान कौन सा है?
What is the graphical solution of (x=-4) and (2x+3y=7)?
#graphical method
#vertical line
#intersection
#numerical
A ((-4,5))
B ((5,-4))
C ((-4,3))
D ((4,5))
Explanation opens after your attempt
Correct Answer
A. ((-4,5))
Step 1
Concept
Putting (x=-4) gives (-8+3y=7), so (y=5). With a vertical line, the (x)-coordinate is already fixed.
Step 2
Why this answer is correct
The correct answer is A. ((-4,5)). Putting (x=-4) gives (-8+3y=7), so (y=5). With a vertical line, the (x)-coordinate is already fixed.
Step 3
Exam Tip
(x=-4) रखने पर (-8+3y=7), इसलिए (y=5)। ऊर्ध्वाधर रेखा के साथ (x)-निर्देशांक पहले से तय रहता है।
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रेखाएं (3x+2y=18) और (x-y=1) ग्राफ पर किस बिंदु पर मिलेंगी?
At which point will the lines (3x+2y=18) and (x-y=1) meet on the graph?
#graphical solution
#intersection
#substitution
#numerical
A ((4,3))
B ((3,4))
C ((5,2))
D ((2,5))
Explanation opens after your attempt
Correct Answer
A. ((4,3))
Step 1
Concept
From (x-y=1), (y=x-1); substituting gives (3x+2x-2=18) and (x=4). Thus (y=3), so the intersection is ((4,3)).
Step 2
Why this answer is correct
The correct answer is A. ((4,3)). From (x-y=1), (y=x-1); substituting gives (3x+2x-2=18) and (x=4). Thus (y=3), so the intersection is ((4,3)).
Step 3
Exam Tip
(x-y=1) से (y=x-1), रखने पर (3x+2x-2=18) और (x=4)। इसलिए (y=3), अतः प्रतिच्छेद ((4,3)) है।
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ग्राफ में (4x+y=19) और (x-2y=-7) का समाधान कौन सा है?
What is the solution of (4x+y=19) and (x-2y=-7) on the graph?
#graphical solution
#substitution
#intersection
#numerical
A ((3,7))
B ((5,-1))
C ((4,3))
D ((2,11))
Explanation opens after your attempt
Correct Answer
A. ((3,7))
Step 1
Concept
From the first equation, (y=19-4x). Substituting gives (x-2(19-4x)=-7), so (x=3), (y=7). This is the graph intersection.
Step 2
Why this answer is correct
The correct answer is A. ((3,7)). From the first equation, (y=19-4x). Substituting gives (x-2(19-4x)=-7), so (x=3), (y=7). This is the graph intersection.
Step 3
Exam Tip
पहले से (y=19-4x), दूसरे में रखने पर (x-2(19-4x)=-7), इसलिए (x=3), (y=7)। यही ग्राफ का प्रतिच्छेद है।
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ग्राफ में (3x+4y=25) और (5x-2y=7) के प्रतिच्छेद का (y)-निर्देशांक क्या है?
What is the (y)-coordinate of the intersection of (3x+4y=25) and (5x-2y=7)?
#graphical solution
#y-coordinate
#intersection
#numerical
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
From the second equation, (5x=7+2y), and solving gives (x=3), (y=4). Hence the (y)-coordinate of the intersection is (4).
Step 2
Why this answer is correct
The correct answer is C. (4). From the second equation, (5x=7+2y), and solving gives (x=3), (y=4). Hence the (y)-coordinate of the intersection is (4).
Step 3
Exam Tip
दूसरे से (5x=7+2y) और हल करने पर (x=3), (y=4)। इसलिए प्रतिच्छेद का (y)-निर्देशांक (4) है।
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रेखाएं (x+y=11) और (2x-3y=-3) ग्राफ पर किस बिंदु पर मिलती हैं?
At which point do the lines (x+y=11) and (2x-3y=-3) meet on the graph?
#graphical solution
#intersection
#substitution
#numerical
A ((6,5))
B ((5,6))
C ((4,7))
D ((7,4))
Explanation opens after your attempt
Correct Answer
A. ((6,5))
Step 1
Concept
Putting (y=11-x) gives (2x-3(11-x)=-3), so (5x=30) and (x=6). Then (y=5).
Step 2
Why this answer is correct
The correct answer is A. ((6,5)). Putting (y=11-x) gives (2x-3(11-x)=-3), so (5x=30) and (x=6). Then (y=5).
Step 3
Exam Tip
(y=11-x) रखने पर (2x-3(11-x)=-3), इसलिए (5x=30) और (x=6)। फिर (y=5)।
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ग्राफ पर (2x-y=6) और (x+2y=8) का समाधान कौन सा है?
What is the solution of (2x-y=6) and (x+2y=8) on the graph?
#graphical solution
#substitution
#intersection
#numerical
A ((4,2))
B ((3,0))
C (\left\(\frac{20}{5},\frac{4}{5}\right\))
D (\left\(\frac{16}{5},\frac{2}{5}\right\))
Explanation opens after your attempt
Correct Answer
A. ((4,2))
Step 1
Concept
From the first equation, (y=2x-6). Substituting gives (x+4x-12=8), so (x=4) and (y=2). The intersection point is the graphical solution.
Step 2
Why this answer is correct
The correct answer is A. ((4,2)). From the first equation, (y=2x-6). Substituting gives (x+4x-12=8), so (x=4) and (y=2). The intersection point is the graphical solution.
Step 3
Exam Tip
पहले से (y=2x-6), दूसरे में रखने पर (x+4x-12=8), इसलिए (x=4) और (y=2)। प्रतिच्छेद बिंदु ही ग्राफीय हल है।
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यदि दो रेखाएं (P(a,b)) पर मिलती हैं और (a+b=9), (a-b=1), तो (P) क्या है?
If two lines meet at (P(a,b)) and (a+b=9), (a-b=1), what is (P)?
#graphical solution
#intersection point
#coordinate reasoning
#numerical
A ((5,4))
B ((4,5))
C ((6,3))
D ((3,6))
Explanation opens after your attempt
Correct Answer
A. ((5,4))
Step 1
Concept
Adding the two equations gives (2a=10), so (a=5) and (b=4). Coordinates of an intersection satisfy both equations together.
Step 2
Why this answer is correct
The correct answer is A. ((5,4)). Adding the two equations gives (2a=10), so (a=5) and (b=4). Coordinates of an intersection satisfy both equations together.
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (2a=10), इसलिए (a=5) और (b=4)। प्रतिच्छेद के निर्देशांक समीकरणों को साथ-साथ संतुष्ट करते हैं।
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यदि (y=3) और (2x-5y=1) को ग्राफ किया जाए, तो प्रतिच्छेद बिंदु क्या होगा?
If (y=3) and (2x-5y=1) are graphed, what will be the intersection point?
#graphical method
#horizontal line
#intersection
#numerical
A ((8,3))
B ((3,8))
C ((5,3))
D ((3,5))
Explanation opens after your attempt
Correct Answer
A. ((8,3))
Step 1
Concept
Putting (y=3) gives (2x-15=1), so (x=8). In a horizontal line, the (y)-coordinate remains fixed.
Step 2
Why this answer is correct
The correct answer is A. ((8,3)). Putting (y=3) gives (2x-15=1), so (x=8). In a horizontal line, the (y)-coordinate remains fixed.
Step 3
Exam Tip
(y=3) रखने पर (2x-15=1), इसलिए (x=8)। क्षैतिज रेखा में (y)-निर्देशांक स्थिर रहता है।
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ग्राफ पर (x= -2) और (3x+4y=14) का समाधान कौन सा है?
What is the graphical solution of (x=-2) and (3x+4y=14)?
#graphical method
#vertical line
#intersection
#numerical
A ((-2,5))
B ((5,-2))
C ((-2,4))
D ((2,5))
Explanation opens after your attempt
Correct Answer
A. ((-2,5))
Step 1
Concept
Putting (x=-2) gives (-6+4y=14), so (y=5). With a vertical line, the (x)-coordinate is already fixed.
Step 2
Why this answer is correct
The correct answer is A. ((-2,5)). Putting (x=-2) gives (-6+4y=14), so (y=5). With a vertical line, the (x)-coordinate is already fixed.
Step 3
Exam Tip
(x=-2) रखने पर (-6+4y=14), इसलिए (y=5)। ऊर्ध्वाधर रेखा के साथ (x)-निर्देशांक पहले से तय रहता है।
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रेखाएं (4x-3y=11) और (2x+y=13) ग्राफ पर किस बिंदु पर मिलेंगी?
At which point will the lines (4x-3y=11) and (2x+y=13) meet on the graph?
#graphical solution
#intersection
#numerical
#expert
A ((5,3))
B ((4,5))
C ((3,5))
D ((5,4))
Explanation opens after your attempt
Correct Answer
A. ((5,3))
Step 1
Concept
From (2x+y=13), (y=13-2x); substituting gives (10x=50), so ((5,3)). A graphical solution always satisfies both equations.
Step 2
Why this answer is correct
The correct answer is A. ((5,3)). From (2x+y=13), (y=13-2x); substituting gives (10x=50), so ((5,3)). A graphical solution always satisfies both equations.
Step 3
Exam Tip
(2x+y=13) से (y=13-2x), रखने पर (10x=50), इसलिए ((5,3))। ग्राफीय समाधान हमेशा दोनों समीकरणों को संतुष्ट करता है।
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दो संख्याओं का योग (18) है और उनका अंतर (4) है। ग्राफीय विधि से समाधान कौन सा होगा?
The sum of two numbers is (18), and their difference is (4). What is the solution by graphical method?
#linear equations
#graphical method
#word problem
#numerical
A ((11,7))
B ((7,11))
C ((10,8))
D ((12,6))
Explanation opens after your attempt
Correct Answer
A. ((11,7))
Step 1
Concept
The equations are (x+y=18) and (x-y=4), so (x=11), (y=7). On the graph, the intersection is this point.
Step 2
Why this answer is correct
The correct answer is A. ((11,7)). The equations are (x+y=18) and (x-y=4), so (x=11), (y=7). On the graph, the intersection is this point.
Step 3
Exam Tip
समीकरण (x+y=18) और (x-y=4) हैं, इसलिए (x=11), (y=7)। ग्राफ में इन रेखाओं का प्रतिच्छेद यही बिंदु है।
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रेखाएं (3x+y=15) और (x-y=1) का ग्राफ खींचने पर प्रतिच्छेद बिंदु कौन सा है?
What is the intersection point when the lines (3x+y=15) and (x-y=1) are graphed?
#linear equations
#graphical solution
#intersection
#numerical
A ((3,4))
B ((4,3))
C ((5,0))
D ((2,5))
Explanation opens after your attempt
Correct Answer
B. ((4,3))
Step 1
Concept
From (x-y=1), (y=x-1), and (3x+x-1=15) gives (x=4), (y=3). The lines meet at ((4,3)) on the graph.
Step 2
Why this answer is correct
The correct answer is B. ((4,3)). From (x-y=1), (y=x-1), and (3x+x-1=15) gives (x=4), (y=3). The lines meet at ((4,3)) on the graph.
Step 3
Exam Tip
(x-y=1) से (y=x-1), और (3x+x-1=15) से (x=4), (y=3)। ग्राफ में दोनों रेखाएं ((4,3)) पर मिलेंगी।
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रेखाएं (2x-y=4) और (x+y=5) ग्राफ पर किस बिंदु पर मिलेंगी?
At which point will the lines (2x-y=4) and (x+y=5) meet on the graph?
#linear equations
#graphical solution
#intersection
#numerical
A ((2,3))
B ((3,2))
C ((4,1))
D ((1,4))
Explanation opens after your attempt
Correct Answer
B. ((3,2))
Step 1
Concept
From the second equation, (y=5-x). Substituting gives (2x-(5-x)=4), so (x=3) and (y=2). The graphical intersection is this solution.
Step 2
Why this answer is correct
The correct answer is B. ((3,2)). From the second equation, (y=5-x). Substituting gives (2x-(5-x)=4), so (x=3) and (y=2). The graphical intersection is this solution.
Step 3
Exam Tip
दूसरे से (y=5-x), इसे पहले में रखने पर (2x-(5-x)=4), इसलिए (x=3) और (y=2)। ग्राफ का प्रतिच्छेद यही समाधान है।
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ग्राफ में (5x+y=16) और (x+y=8) के समाधान का (y)-निर्देशांक क्या है?
What is the (y)-coordinate of the solution of (5x+y=16) and (x+y=8) on the graph?
#linear equations
#graphical solution
#y-coordinate
#numerical
A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
Subtracting the second equation from the first gives (4x=8), so (x=2) and (y=6). Thus the graph point has (y)-coordinate (6).
Step 2
Why this answer is correct
The correct answer is C. (6). Subtracting the second equation from the first gives (4x=8), so (x=2) and (y=6). Thus the graph point has (y)-coordinate (6).
Step 3
Exam Tip
पहले से दूसरे को घटाने पर (4x=8), इसलिए (x=2) और (y=6)। ग्राफ में इसी बिंदु का (y)-निर्देशांक (6) है।
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ग्राफ में (3x+y=10) और (2x-y=5) के प्रतिच्छेद का (x)-निर्देशांक क्या है?
What is the (x)-coordinate of the intersection of (3x+y=10) and (2x-y=5) on the graph?
#linear equations
#graphical solution
#x-coordinate
#numerical
A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
Adding the two equations gives (5x=15), so (x=3). This is the (x)-coordinate of the graphical intersection.
Step 2
Why this answer is correct
The correct answer is C. (3). Adding the two equations gives (5x=15), so (x=3). This is the (x)-coordinate of the graphical intersection.
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (5x=15), इसलिए (x=3)। ग्राफ में प्रतिच्छेद का (x)-निर्देशांक यही होगा।
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ग्राफ द्वारा (2x+y=9) और (x+y=5) का समाधान कौन सा बिंदु देगा?
Which point gives the graphical solution of (2x+y=9) and (x+y=5)?
#linear equations
#graphical solution
#intersection
#numerical
A ((3,2))
B ((4,1))
C ((2,3))
D ((1,4))
Explanation opens after your attempt
Correct Answer
B. ((4,1))
Step 1
Concept
Subtracting the second equation from the first gives (x=4), then (y=1). On the graph, the meeting point is ((4,1)).
Step 2
Why this answer is correct
The correct answer is B. ((4,1)). Subtracting the second equation from the first gives (x=4), then (y=1). On the graph, the meeting point is ((4,1)).
Step 3
Exam Tip
पहले से दूसरे को घटाने पर (x=4), फिर (y=1)। ग्राफ में दोनों रेखाओं का मिलन बिंदु ((4,1)) होगा।
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