write a pair of linear equation which has the unique solution x= -1 and y= -3 . how much such pair can you write
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Answer:
Infinite
Step-by-step explanation:
a1/a2 ≠ b1/b2
Let the equations be,
a1x + b1y + c1 = 0 a2x + b2y + c2 = 0
Since, x = – 1 and y = 3 is the unique solution of these two equations, then It must satisfy the equations – a1(-1) + b1(3) + c1 = 0 – a1 + 3b1 + c1 = 0 …
(i) and a2(- 1) + b2(3) + c2 = 0 – a2 + 3b2 + c2 = 0
(ii) Since for the different values of a1, b1, c1 and a2, b2, c2 satisfy the Eqs. (i) and (ii).
Thus infinite pair we can write
❥♥╣XxNashedixX╠♥
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