Question

Solve the system of equations.
y=x²-5
y 2x+3

Answer 1

`x=4,\:x=-2`

Explanation:

Both equations are equal to y, so we can simply set them equal to each other and solve for x:

`x^2-5=2x+3\\\\x^2-8=2x\\\\x^2-2x-8=0\\\\(x-4)(x+2)=0\\\\x=4,\:x=-2`