Which point lies on the graph of the equation 3x − y = 2?
Answer and explanation
Correct answer: (3, 7)
For the point (3, 7), substituting x = 3 and y = 7 gives 3x − y = 3(3) − 7 = 9 − 7 = 2. Therefore, the point lies on the line. The other points do not satisfy the equation; for example, (1, 3) gives 3(1) − 3 = 0. In an exam, test a point by directly substituting its coordinates into the equation.
Frequently asked questions
What is the correct answer to this question?
(3, 7)
Why is this the correct answer?
For the point (3, 7), substituting x = 3 and y = 7 gives 3x − y = 3(3) − 7 = 9 − 7 = 2. Therefore, the point lies on the line. The other points do not satisfy the equation; for example, (1, 3) gives 3(1) − 3 = 0. In an exam, test a point by directly substituting its coordinates into the equation.
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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