Question

Solve the following system of equations and show all work. (10 points) y = x^2 + 3 y = x + 5

Answer 1

Explanation:

To find the point of intersection between the two equations, we need to set them equal to each other since they represent the same y-value at the intersection point:

(x−2)(x+1)=0 x-2=0 x is equal to 2. x+1=0 x is equal to -1

Answer 2

x = 2

x = -1

Explanation:

y = x^2 + 3

y = x + 5

x^2 + 3 = x + 5

x^2 - x - 2 = 0

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

x = 2

x = -1