For the line (x+y=11), which point is obtained when (x=4)?
Answer and explanation
Correct answer: (4,7)
The governing concept is obtaining a coordinate point on a linear equation by assigning one coordinate and calculating the other. Substitute x = 4 into x + y = 11: 4 + y = 11. Subtracting 4 from both sides gives y = 7. Therefore the ordered pair is (x, y) = (4, 7), so option A is correct. Option B reverses the x- and y-coordinates and would give 7 + 4 = 11 only because the equation is symmetric, but it does not satisfy the stated condition x = 4. Options C and D use 11 as one coordinate without solving correctly. The point can be plotted as an ordinary point on the line.
Frequently asked questions
What is the correct answer to this question?
(4,7)
Why is this the correct answer?
The governing concept is obtaining a coordinate point on a linear equation by assigning one coordinate and calculating the other. Substitute x = 4 into x + y = 11: 4 + y = 11. Subtracting 4 from both sides gives y = 7. Therefore the ordered pair is (x, y) = (4, 7), so option A is correct. Option B reverses the x- and y-coordinates and would give 7 + 4 = 11 only because the equation is symmetric, but it does not satisfy the stated condition x = 4. Options C and D use 11 as one coordinate without solving correctly. The point can be plotted as an ordinary point on the line.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..
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