Find the solution for these simultaneous equations: y = x² = and y = X + 2 using substitution method ?

Given equations:
1) y = x²
2) y = x + 2

Substitute equation 1 into equation 2:
x² = x + 2

Rearrange the equation:
x² - x - 2 = 0

Factorize the quadratic equation:
(x - 2)(x + 1) = 0

Therefore, x = 2 or x = -1

Substitute x back into equation 1 to find y:
For x = 2:
y = 2² = 4

For x = -1:
y = (-1)² = 1

Therefore, the solutions for the simultaneous equations are:
x = 2, y = 4
x = -1, y = 1