Solve the system of equations: y = 2x + 1 y = x2 + 2x - 8

A. (0, 1) and (2, 5)

B. (-4, 0) and (2, 0)

C. (-3, - 5) and (3, 7)

D. (-3, 5) and (3, 2)

Correct answer is option C. (-3,-5) and (3,7)

Step-by-step explanation:

Let us take the value of y from equation y=2x+1 and plugin to the equation y=x2+2x-8

so

2x+1=x2+2x-8

taking constants on left hand side and literals on the right hand side

1+8=x2+2x-2x

9=x2

this implies that value of x=+3,-3

now plug in the value of x in the equation y=2x+1

when x=+3

y=2*3+1 = 7

so (3,7)

when x=-3

y=2 * (-3) + 1 = - 5

so (3,-5)

hence the answer is (-3,-5) and (3,7)