- A(0, 6)
- B(4, 0)
- C(2, 3)
- D(6, 4)
Step-by-Step Solution
(4, 0): 3(4) − 2(0) = 12 ✓. The others give 3(0) − 2(6) = −12, 3(2) − 2(3) = 0 and 3(6) − 2(4) = 10.
Answer: B) (4, 0)
Which of these ordered pairs is 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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More Class 9 Linear Equations in Two Variables practice
The point (−2, y) lies on the line 5x + 3y = 2. Find y.A student writes 4x = 9 − 3y in the standard form as 4x − 3y − 9 = 0. What is wrong?Treated as an equation in two variables, how many solutions does x = 7 have?The pair (2, 5) is a solution of which of these equations?Which equation represents the line drawn parallel to the x-axis, 4 units BELOW it?