- A(3, 2)
- B(−3, 2)
- C(−3, −2)
- D(3, −2)
Step-by-Step Solution
2(−3) − 5(−2) = −6 + 10 = 4 ✓. Subtracting a negative adds. The other three give −4, −16 and 16.
Answer: C) (−3, −2)
Which pair satisfies the equation ?
Class 9Linear Equations in Two VariablesLinear Equations
Key idea: What does a 'solution' look like?
For an equation in TWO variables, a solution is a PAIR , not a single number.
Example: . Try (1, 5): ✓. So (1, 5) is a solution.
Try (0, 7), (2, 3), (3, 1), (−1, 9) — all work. There are infinitely many. Two variables, one equation → one degree of freedom remaining.
Example: . Try (1, 5): ✓. So (1, 5) is a solution.
Try (0, 7), (2, 3), (3, 1), (−1, 9) — all work. There are infinitely many. Two variables, one equation → one degree of freedom remaining.
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