Question

Solve ax + by = a2 and bx + ay = b2

Answer 1

Step-by-step explanation:

$ax + by = {a}^{2} \: \: ..........(1)$

$bx + ay = {b}^{2} ............(2)$

$adding \: (1) \: and \: (2) \: we \: get$

$ax + bx + ay + by = {a}^{2} + {b}^{2}$

$x(a + b) + y(a + b) = {a}^{2} + {b}^{2}$

$(x + y)(a + b) = {a}^{2} + {b}^{2}$

$x + y = \frac{ {a}^{2} + {b}^{2} }{a + b}$

$x + y = a + b$

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