Question

solve for x and y x+ay=b ,ax-by=c

Answer 1

$x + ay = b......(1) \\ ax - by = c.......(2) \\ multiply \: (1) \: with \: a \: and \: subtract \: both \: \\ ax + {a}^{2} y = ab......(1) \\ ax - by = c......(2) \\ sub \\ {a}^{2} y + by = ab - c \\ y = \frac{ab - c}{ {a}^{2} + b} ......(3) \\ \\ \\ from \: (1) \: an d\: (3) \\ x = b - ay \\ x = b - a(\frac{ab - c}{ {a}^{2} + b } )$


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