Question

Write a pair of linear equation which has a unique solution x=-1,y=3. How many such pairs can you write​

Answer 1

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 …(iiRead more on Sarthaks.com - https://www.sarthaks.com/878806/write-pair-linear-equations-which-has-the-unique-solution-how-many-such-pairs-can-you-write