Question

The solution of the equation ax+b y +5 =0 and bx-ay-12=0 is (2,-3)​

Answer 1

Answer:

$a = 2 \: \: \: \: \: \: \: \: \: \: \: \: b = 3.$

Step-by-step explanation:

$2a - 3b + 5 = 0 \\ \\ 2b + 3a - 12 = 0 \\ \\ solving \: these \: \: \: \: \\ \\ 3(2a - 3b + 5 = 0) - 2(2b + 3a - 12 = 0) = 0 \\ \\ - 9b - 4b + 15 + 24 = 0 \\ \\ 13b = 39 \\ \\ b = 3 \: \: \: ...(i) \\ \\ and \: \: \: \: 2a - 9 + 5 = 0 \\ \\ 2a = 4 \\ \\ a = 2 \: \: \: \: \: ...(ii)$