MCQ practice · SSC General Mathematics Board questions · Chapter 12: Simple Simultaneous Equations in Two Variables
Which point lies on the graph of the equation 3x - y = 7?
Think it through first, then pick an option.
- a (2, -1)
- b (-1, 2)
- c (2, 1)
- d (2, 2)
Answer and explanation
Correct answer: a (2, -1)
3 × 2 - (-1) = 6 + 1 = 7, equal to the right side, so the point satisfies the equation.
Why the other options are wrong
- b (-1, 2): Here x and y are swapped. 3 × (-1) - 2 = -5, not 7, so the point is not on the line.
- c (2, 1): 3 × 2 - 1 = 5, not 7. The value y = 1 does not give 7; y = -1 does.
- d (2, 2): 3 × 2 - 2 = 4, not 7, so (2, 2) does not satisfy the equation.
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