substitution se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
419 questions tagged with substitution.
B. ( (8,1) )
From (x-y=7), (y=x-7), so (3x+x-7=25) and (x=8). Then (y=1).
The correct answer is B. ( (8,1) ). From (x-y=7), (y=x-7), so (3x+x-7=25) and (x=8). Then (y=1).
(x-y=7) से (y=x-7), इसलिए (3x+x-7=25) और (x=8)। फिर (y=1) है।
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If (2x-y=7) and (x+2y=16), what is the solution?
C. ( (6,5) )
From (2x-y=7), (y=2x-7), so (x+2(2x-7)=16) and (x=6). Then (y=5).
The correct answer is C. ( (6,5) ). From (2x-y=7), (y=2x-7), so (x+2(2x-7)=16) and (x=6). Then (y=5).
(2x-y=7) से (y=2x-7), इसलिए (x+2(2x-7)=16) और (x=6)। फिर (y=5) मिलेगा।
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What is the solution of \(\frac{x}{3}+y=6\) and (x-y=6)?
B. ( (9,3) )
Putting (x=y+6) gives \(\frac{y+6}{3}+y=6\), so (y=3) and (x=9). Matching denominators reduces mistakes in fractions.
The correct answer is B. ( (9,3) ). Putting (x=y+6) gives \(\frac{y+6}{3}+y=6\), so (y=3) and (x=9). Matching denominators reduces mistakes in fractions.
(x=y+6) रखने पर \(\frac{y+6}{3}+y=6\), इसलिए (y=3) और (x=9)। भिन्न में हर समान करने से गलती कम होती है।
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Solve (2x+y=13) and (x+3y=19).
A. ( (4,5) )
From the first equation, (y=13-2x), so (x+3(13-2x)=19). This gives (x=4) and (y=5).
The correct answer is A. ( (4,5) ). From the first equation, (y=13-2x), so (x+3(13-2x)=19). This gives (x=4) and (y=5).
पहले समीकरण से (y=13-2x), इसलिए (x+3(13-2x)=19)। इससे (x=4) और (y=5)।
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Choose the solution of (y=3x-5) and (2x+y=20).
B. ( (5,10) )
Putting (3x-5) in place of (y) gives (5x-5=20), so (x=5) and (y=10). Replace the entire expression carefully.
The correct answer is B. ( (5,10) ). Putting (3x-5) in place of (y) gives (5x-5=20), so (x=5) and (y=10). Replace the entire expression carefully.
(3x-5) को (y) की जगह रखने पर (5x-5=20), इसलिए (x=5) और (y=10)। अभिव्यक्ति रखते समय पूरा पद बदलें।
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If (x=2y+1) and (3x-y=18), what are (x) and (y)?
C. ( (7,3) )
Substituting (x=2y+1) gives (3(2y+1)-y=18), so (y=3) and (x=7). Use brackets while multiplying.
The correct answer is C. ( (7,3) ). Substituting (x=2y+1) gives (3(2y+1)-y=18), so (y=3) and (x=7). Use brackets while multiplying.
(x=2y+1) रखने पर (3(2y+1)-y=18), इसलिए (y=3) और (x=7)। कोष्ठक लगाकर गुणा करें।
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Solve (4x+2y=30) and (2x-y=9).
B. ( (6,3) )
From the second equation, (y=2x-9), so (4x+2(2x-9)=30) and (x=6). Then (y=3).
The correct answer is B. ( (6,3) ). From the second equation, (y=2x-9), so (4x+2(2x-9)=30) and (x=6). Then (y=3).
दूसरे समीकरण से (y=2x-9), इसलिए (4x+2(2x-9)=30) और (x=6)। फिर (y=3) है।
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In a problem, the equations formed are (x+y=13) and (2x+3y=34). What is the solution?
A. ( (5,8) )
Putting (x=13-y) gives (2(13-y)+3y=34), so (y=8) and (x=5). Keep the formed equations organized.
The correct answer is A. ( (5,8) ). Putting (x=13-y) gives (2(13-y)+3y=34), so (y=8) and (x=5). Keep the formed equations organized.
(x=13-y) रखने पर (2(13-y)+3y=34), इसलिए (y=8) और (x=5)। बने हुए समीकरणों को व्यवस्थित रखें।
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If (x=3y-1) and (x+y=11), what is ((x,y))?
C. ( (8,3) )
From (3y-1+y=11), (4y=12), so (y=3) and (x=8). Keeping the expression in brackets is safer.
The correct answer is C. ( (8,3) ). From (3y-1+y=11), (4y=12), so (y=3) and (x=8). Keeping the expression in brackets is safer.
(3y-1+y=11) से (4y=12), इसलिए (y=3) और (x=8)। अभिव्यक्ति को पूरी तरह कोष्ठक में रखना सुरक्षित है।
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Solve (y=2x+1) and (x+y=10) by substitution.
C. ( (3,7) )
Putting (y=2x+1) gives (3x+1=10), so (x=3) and (y=7). If (y=) form is given, substitute directly.
The correct answer is C. ( (3,7) ). Putting (y=2x+1) gives (3x+1=10), so (x=3) and (y=7). If (y=) form is given, substitute directly.
(y=2x+1) रखने पर (3x+1=10), इसलिए (x=3) और (y=7)। दिए गए रूप (y=) में हो तो सीधे रखें।
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If (x+y=10) and (3x+2y=24), what are the values of (x) and (y)?
C. ( (4,6) )
Putting (x=10-y) gives (3(10-y)+2y=24), so (y=6) and (x=4). A sum equation makes substitution easier.
The correct answer is C. ( (4,6) ). Putting (x=10-y) gives (3(10-y)+2y=24), so (y=6) and (x=4). A sum equation makes substitution easier.
(x=10-y) रखने पर (3(10-y)+2y=24), इसलिए (y=6) और (x=4)। योग वाले समीकरण से प्रतिस्थापन आसान बनता है।
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Solve \(\frac{x}{2}+y=7\) and (x-y=2).
A. ( (6,4) )
From (x-y=2), (x=y+2), so \(\frac{y+2}{2}+y=7\) and (y=4). In fraction questions, try to clear denominators first.
The correct answer is A. ( (6,4) ). From (x-y=2), (x=y+2), so \(\frac{y+2}{2}+y=7\) and (y=4). In fraction questions, try to clear denominators first.
(x-y=2) से (x=y+2), इसलिए \(\frac{y+2}{2}+y=7\) और (y=4)। भिन्न वाले प्रश्न में पहले हर हटाने की कोशिश करें।
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Choose the solution of (2x+3y=13) and (4x-y=5).
B. ( (2,3) )
From (4x-y=5), (y=4x-5), so (2x+3(4x-5)=13) and (x=2). Then (y=3).
The correct answer is B. ( (2,3) ). From (4x-y=5), (y=4x-5), so (2x+3(4x-5)=13) and (x=2). Then (y=3).
(4x-y=5) से (y=4x-5), इसलिए (2x+3(4x-5)=13) और (x=2)। फिर (y=3) मिलेगा।
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What is the solution of (2x+3y=19) and (x-y=2)?
C. ( (5,3) )
From (x-y=2), (x=y+2), so (2(y+2)+3y=19) and (y=3). Then (x=5).
The correct answer is C. ( (5,3) ). From (x-y=2), (x=y+2), so (2(y+2)+3y=19) and (y=3). Then (x=5).
(x-y=2) से (x=y+2), इसलिए (2(y+2)+3y=19) और (y=3)। फिर (x=5) मिलेगा।
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Solve (2x+y=11) and (x-y=1) by substitution.
B. ( (4,3) )
From (x-y=1), (y=x-1), so (2x+x-1=11) and the solution is ( (4,3) ). In exams, isolate the easier variable first.
The correct answer is B. ( (4,3) ). From (x-y=1), (y=x-1), so (2x+x-1=11) and the solution is ( (4,3) ). In exams, isolate the easier variable first.
(x-y=1) से (y=x-1), इसलिए (2x+x-1=11) और हल ( (4,3) ) है। परीक्षा में पहले आसान चर अलग करें।
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If (3x+y=15) and (x+3y=13), what are the values of (x) and (y)?
A. (x=4,\ y=3)
From the first equation (y=15-3x); substituting gives (x+45-9x=13), so (x=4) and (y=3). Isolate the simpler variable in substitution.
The correct answer is A. (x=4,\ y=3). From the first equation (y=15-3x); substituting gives (x+45-9x=13), so (x=4) and (y=3). Isolate the simpler variable in substitution.
पहले समीकरण से (y=15-3x); रखने पर (x+45-9x=13), इसलिए (x=4) और (y=3)। प्रतिस्थापन में सरल चर अलग करें।
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What is the solution of (4x+2y=38) and (x-y=5)?
D. (x=8,\ y=3)
The first equation becomes (2x+y=19), and substituting (y=x-5) gives (3x-5=19). Simplifying the equation first saves time.
The correct answer is D. (x=8,\ y=3). The first equation becomes (2x+y=19), and substituting (y=x-5) gives (3x-5=19). Simplifying the equation first saves time.
पहला समीकरण (2x+y=19) बनता है और (y=x-5) रखने पर (3x-5=19)। समीकरण को पहले सरल करना समय बचाता है।
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If (x+2y=21) and (y=8), what will be the value of (x)?
C. (x=5)
Putting (y=8) gives (x+16=21), so (x=5). Multiply first and then subtract.
The correct answer is C. (x=5). Putting (y=8) gives (x+16=21), so (x=5). Multiply first and then subtract.
(y=8) रखने पर (x+16=21), इसलिए (x=5)। पहले गुणा करें फिर घटाएं।
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If (x=3y+2) and (x+y=18), which is the correct solution?
A. (x=14,\ y=4)
Substituting (x=3y+2) gives (4y+2=18), so (y=4) and (x=14). Put the given relation directly into the main equation.
The correct answer is A. (x=14,\ y=4). Substituting (x=3y+2) gives (4y+2=18), so (y=4) and (x=14). Put the given relation directly into the main equation.
(x=3y+2) रखने पर (4y+2=18), इसलिए (y=4) और (x=14)। बने हुए संबंध को सीधे मुख्य समीकरण में रखें।
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If (3x-2y=4) and (x=4), what is the value of (y)?
D. (y=4)
Putting (x=4) gives (12-2y=4), so (y=4). Check signs while solving a term with a negative coefficient.
The correct answer is D. (y=4). Putting (x=4) gives (12-2y=4), so (y=4). Check signs while solving a term with a negative coefficient.
(x=4) रखने पर (12-2y=4), इसलिए (y=4)। ऋण गुणांक वाले पद को हल करते समय चिन्ह जांचें।
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If (x+4y=19) and (x-y=4), what will be the values of (x) and (y)?
C. (x=7,\ y=3)
From the second equation (x=y+4); substituting gives (5y+4=19), so (y=3) and (x=7). Choose the simpler equation for substitution.
The correct answer is C. (x=7,\ y=3). From the second equation (x=y+4); substituting gives (5y+4=19), so (y=3) and (x=7). Choose the simpler equation for substitution.
दूसरे समीकरण से (x=y+4); रखने पर (5y+4=19), इसलिए (y=3) और (x=7)। प्रतिस्थापन के लिए सरल समीकरण चुनें।
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If (y=x+2) and (3x+y=18), what are the values of (x) and (y)?
D. (x=4,\ y=6)
Substituting (y=x+2) gives (4x+2=18), so (x=4) and (y=6). Find (x) first, then substitute for (y).
The correct answer is D. (x=4,\ y=6). Substituting (y=x+2) gives (4x+2=18), so (x=4) and (y=6). Find (x) first, then substitute for (y).
(y=x+2) रखने पर (4x+2=18), इसलिए (x=4) और (y=6)। पहले (x) निकालें फिर (y) में रखें।
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In the equations (x+3y=23) and (y=6), what is (x)?
B. (x=5)
Putting (y=6) gives (x+18=23), so (x=5). Multiply correctly while substituting the given value.
The correct answer is B. (x=5). Putting (y=6) gives (x+18=23), so (x=5). Multiply correctly while substituting the given value.
(y=6) रखने पर (x+18=23), इसलिए (x=5)। दिए मान को रखते समय गुणा ठीक करें।
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If (2x+y=16) and (y=2x), which is the correct solution?
C. (x=4,\ y=8)
Substituting (y=2x) gives (4x=16), so (x=4) and (y=8). Substitute the ratio relation directly.
The correct answer is C. (x=4,\ y=8). Substituting (y=2x) gives (4x=16), so (x=4) and (y=8). Substitute the ratio relation directly.
(y=2x) रखने पर (4x=16), इसलिए (x=4) और (y=8)। अनुपात वाले संबंध को सीधे रखें।
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If (x=14-3y) and (x+y=8), what is the value of (y)?
D. (y=3)
Substituting (x=14-3y) gives (14-2y=8), so (y=3). After substitution, keep variable terms on one side.
The correct answer is D. (y=3). Substituting (x=14-3y) gives (14-2y=8), so (y=3). After substitution, keep variable terms on one side.
(x=14-3y) रखने पर (14-2y=8), इसलिए (y=3)। प्रतिस्थापन के बाद चर वाले पद एक तरफ रखें।
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The sum of two numbers (x) and (y) is (20), and (y=8). What will be the value of (x)?
B. (x=12)
Putting (y=8) in (x+y=20) gives (x=12). First write the equation clearly from the words.
The correct answer is B. (x=12). Putting (y=8) in (x+y=20) gives (x=12). First write the equation clearly from the words.
समीकरण (x+y=20) में (y=8) रखने पर (x=12)। शब्दों से बने समीकरण को पहले साफ लिखें।
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If (x-y=8) and (y=5), what is the value of (x)?
A. (x=13)
Putting (y=5) gives (x-5=8), so (x=13). Substitute the given value in the original equation.
The correct answer is A. (x=13). Putting (y=5) gives (x-5=8), so (x=13). Substitute the given value in the original equation.
(y=5) रखने पर (x-5=8), इसलिए (x=13)। दिए हुए मान को मूल समीकरण में रखें।
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If (3x-y=18) and (x=7), what will be the value of (y)?
C. (y=3)
Putting (x=7) gives (21-y=18), so (y=3). Watch the signs while solving a negative variable.
The correct answer is C. (y=3). Putting (x=7) gives (21-y=18), so (y=3). Watch the signs while solving a negative variable.
(x=7) रखने पर (21-y=18), इसलिए (y=3)। ऋण चर को हल करते समय चिन्हों का ध्यान रखें।
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In the equations (x+2y=18) and (x=8), what is (y)?
B. (y=5)
Putting (x=8) gives (8+2y=18), so (y=5). Check the final value even in simple substitution.
The correct answer is B. (y=5). Putting (x=8) gives (8+2y=18), so (y=5). Check the final value even in simple substitution.
(x=8) रखने पर (8+2y=18), इसलिए (y=5)। सरल प्रतिस्थापन में भी अंतिम मान जांचें।
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If (2x+4y=28) and (x-y=2), what are the values of (x) and (y)?
A. (x=6,\ y=4)
Substituting (x=y+2) gives (2y+4+4y=28), so (y=4) and (x=6). Choose a simple relation before substitution.
The correct answer is A. (x=6,\ y=4). Substituting (x=y+2) gives (2y+4+4y=28), so (y=4) and (x=6). Choose a simple relation before substitution.
(x=y+2) रखने पर (2y+4+4y=28), इसलिए (y=4) और (x=6)। प्रतिस्थापन से पहले सरल संबंध चुनें।
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