- A(2, 2)
- B(0, 3)
- C(6, 0)
- D(4, 2)
Step-by-Step Solution
Check (4, 2): 4 + 2(2) = 8 ≠ 6, so it is NOT a solution. The others: 2+4=6 ✓, 0+6=6 ✓, 6+0=6 ✓.
Answer: D) (4, 2)
Which of the following is NOT a solution of ?
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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