Answer:
(1, -1)
Step-by-step explanation:
Given the expression
x+y = 0 .....1
y = x²+2xy ....2
From equation 1, x = -y
Substitute into 3
y = x²+2xy
y = (-y)²+2(-y)y
y = y²-2y²
y = -y²
1 = -y
y = -1
Since x = -y
x = -(-1)
x = 1
Hence the required solution is (1, -1)