Question

Solve the system of equations.
y = 4x+1
y=x²+2x-2

Answer 1

(-1, -3) or (3, 13)

Explanation:

Since both equations equal “y”, we can set them equal to each other

4x + 1 = x^2 + 2x - 2

0 = x^2 - 2x - 3

0 = (x + 1)(x - 3)

x = -1 or 3
Now, to find “y”, plug in both values of “x” into any one of the given equations:

y = 4(-1) + 1 = -4 + 1 = -3

y = 4(3) + 1 = 12 + 1 = 13

Thus the answers are x=-1 and y=-3, or x=3 and y=13