Question

solve the system of equations y=3x+2 y=x^2-4+2 A. (0,2) and (7,23) B. (-7,-23) and (0,2) C. (-7,23) and (0,-2) D. (0,-2) and (-7,-23)

Answer 1

A. (0,2) and (7,23)

Explanation:

To solve, we set both equations equal to each other (because both equations equal y).

3x + 2 = x^2 -4x + 2

x^2 - 7x = 0

x(x-7)

so the x values are 7 and 0.

Plugging x back into the linear equation (because it’s easier)

3(7) + 2 = 23

3(0) + 2 = 2

so the answers are (7, 23) and (0,2)