2x^2 - 3y = 2
-3y = -2x^2 + 2
-6y = -4x^2 + 4
4x - 6y = 1
-6y = -4x + 1
-4x^2 + 4 = -4x + 1
-4x^2 + 4x + 3 = 0
quadratic
x = (-4 +-sqrt(4^2 - 4(-4)(3)))/2(-4)
x = (-4 +-sqrt(16 + 48)) / (-8)
x = (-4 +-sqrt(64)) / -8
x = (-4 +- 8) / -8
x = -12/-8 or x = 4/-8
x = 3/2 or x = -1/2
4(3/2) - 6y = 1
6 - 6y = 1
-6y = -5
y = 5/6
4(-1/2) - 6y = 1
-2 - 6y = 1
-6y = 2 + 1
-6y = 3
y = -1/2
Answer x = 3/2, y = 5/6 or x = -1/2, y = -1/2