For the line (x-y=5), which point is obtained when (y=2)?
Answer and explanation
Correct answer: ((7,2))
The governing idea is that a point lies on a line when its coordinates satisfy the equation. Here y is given as 2, so substitute y=2 in x−y=5: x−2=5. Adding 2 to both sides gives x=7. Therefore the ordered pair is (x,y)=(7,2), which is option B. Option A reverses the coordinate order, while option C incorrectly treats 5 as the x-coordinate without solving. Option D would give 3−2=1, not 5, so it does not lie on the line. The graph of the line must therefore contain (7,2).
Frequently asked questions
What is the correct answer to this question?
((7,2))
Why is this the correct answer?
The governing idea is that a point lies on a line when its coordinates satisfy the equation. Here y is given as 2, so substitute y=2 in x−y=5: x−2=5. Adding 2 to both sides gives x=7. Therefore the ordered pair is (x,y)=(7,2), which is option B. Option A reverses the coordinate order, while option C incorrectly treats 5 as the x-coordinate without solving. Option D would give 3−2=1, not 5, so it does not lie on the line. The graph of the line must therefore contain (7,2).
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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