Question

solve for X and y


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

liner equation in 2 variable
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Answer 1

Clearly you can see that x=0 and y=0 is the solution of the given equation.