Question

What are the solutions to the following system of equations? Select the correct answer below.

y = x2 − 4x + 8
4x + y = 12

Answer 1

the answer to this question is (2, 4) and (−2, 20)

Answer 2

y = x² - 4x + 8
4x + y = 12

4x + y = 12
4x + (x² - 4x + 8) = 12
x² + 4x - 4x + 8 = 12
x² + 8 = 12
- 8 - 8
x² = 4
x = ±2
4x + y = 12
4(2) + y = 12
8 + y = 12
- 8 - 8
y = 4

4x + y = 12
4(-2) + y = 12
-8 + y = 12
+ 8 + 8
y = 20

(x, y) = (2, 4) and (-2, 20)