Question

ax+by=5
bx+ay=3

solve the problem step by step simultaneously question .

Answer 1

multiplying a to first
and b to 2nd equation
and substracting them
${a}^{2} x + aby - ( {b}^{2}x + aby) = 5a - 3b \\x( {a}^{2} - {b}^{2} ) = 5a - 3b \\ x = \frac{5a - 3b}{ {a}^{2} - {b}^{2} } \\ similarly \: find \: y$