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Solve the equations x * 2 + y * 2 + X + y = 18, X * 2 + XY + y * 2 = 19
X + y = s, xy = TX ^ 2 + y ^ 2 = (x + y) ^ 2-2xy = s ^ 2-2tx * 2 + y * 2 + X + y = 18 x * 2 + XY + y * 2 = 19S ^ 2-2t + S = 18 (1) s ^ 2-2t + T = 9 (2) from (1), we can get: T = (s ^ 2 + S-18) / 2 substitute (2) to get: s ^ 2 - (s ^ 2 + S-18) / 2 = 9s (s-1) = 0s = 0, t = - 9 or S = 1, t = - 8s = 0, t = - 9, that is, x + y = 0
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