Algebra II Question

Question

Identify the x-coordinates for the solutions of this system of equations.

2x² - 2x + 3 = y

y = x² + 5x - 7

Answer 1

Set the 2 equations equal to one another

2x^2-2x+3 = x^2+5x-7

x^2-7x+10=0

(x-2)(x-5)=0 x= 2,5 are your x solutions

Plug each of these x values into either of the equations to get your corresponding y values. I will leave this to you