Question 59830
y = x^2 + 2x - 2 
and 
y = 3x + 4;
:
Just substitute (3x+4) for y in the 1st equation:
x^2 + 2x - 2 = y
:
x^2 + 2x - 2 = 3x + 4
:
Perform the necessay math operations to get everything on the left
x^2 + 2x - 3x - 2 - 4 = 0
:
x^2 - 1x - 6 = 0
:
Factor easily to:
(x - 3)(x + 2) = 0
:
x = +3 and x = -2
:
:
Check both solutions by substitution in both equations:
x = +3
3^2 + 2(3) - 2 = 13
and
3(3) + 4 = 13
:
x = -2
(-2)^2 + 2(-2) - 2 = -2
and 
3(-2) + 4 = -2