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

y = x2 − 2x + 4
8x + y = 20

Solution of the equation is (2,4) and (-8,84) .

Step-by-step explanation:

As given the equation

y = x² - 2x + 4

8x + y = 40

Putting  y = x² - 2x + 4  in 8x + y = 40 .

8x + x² - 2x + 4 = 40

x² + 6x + 4 = 20

x² + 6x + 4 -20 = 0

x² + 6x - 16 = 0

x² + 8x - 2x - 16 = 0

x(x+8)-2(x+8) = 0

(x+8)(x-2) = 0

x = -8 , x = 2

Put x = -8 in the equation 8x + y = 20 .

8 × -8 + y = 20

-64 + y = 20

y = 20 + 64

y = 84

Put x = 2 in the equation 8x + y = 20 .

8 × 2 + y = 20

16 + y = 20

y = 20 - 16

y = 4

Therefore solution of the equation is (2,4) and (-8,84) .

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