Question

Solve the system of equations:
y = x-2
y= x2 – 3x+ 2

Answer 1

(2, 0)

Explanation:

y = x - 2

y = x² - 3x + 2

Since both equations equal y, you can set the equations equal to each other.

x - 2 = x² - 3x + 2

x = x² - 3x + 4

0 = x² - 4x + 4

0 = (x - 2)(x - 2)

x - 2 = 0

x = 2

Now that you have an x-value, solve for y.

y = x - 2

y = 2 - 2

y = 0

The solution is (2, 0).