Question

Solve the following system of equations:

y=6−x
y=x2−6x+6
A. (1, 0), (-4, 1)
B. (0, 6), (5, 1)
C. (5, 8), (3, 6)
D. (-4, 12)

Answer 1

B. (0, 6), (5, 1)

Explanation:

y=6−x

y=x2−6x+6

6 - x = x² - 6x + 6

x² - 5x = 0

x(x - 5) = 0

x = 0 or x = 5

x = 0; y = 6 - 0; y = 6

x = 5; y = 6 - 5; y = 1

Answer: (0, 6), (5, 1)