What are the solutions to the system of equations? y=2x^2-8x+5 and y=x-2

(3.5; 1.5) and (1; - 1)

Step-by-step explanation:

y=2x²-8x+5

y=x-2

x - 2 = 2x²-8x+5

2x² - 9x + 7 = 0

(2x - 7) (x - 1) = 0

x1 = 7/2, and x2 = 1

y = x-2

x1 = 7/2 = 3.5, y1 = 7/2 - 2 = 1.5, (3.5; 1.5)

x2 = 1, y2 = 1 - 2 = - 1 (1; - 1)

Check:

1) y=2x²-8x+5, (3.5; 1.5)

1.5 = 2*3.5² - 8*3.5 + 5

1.5≡1.5

2) y=2x²-8x+5, (1; - 1)

-1 = 2*1 - 8*1 + 5

- 1 ≡ - 1