Solve the following simultaneous equations for x and y.
m(x+y)+ n(x - y) = (m^2 + mn + n^2) = 0;
n(x + y) + m(x - y) - (m^2- mn + n^2) = 0.
(1) Let x + y = a, x - y = b.
(2) Transfer the terms not containing x and y to RHS.
(3) Add equations, substitute the values of a and b and solve.
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