Question

Find the solution(s) to the system of equations. select all that apply y=x^2 - 4 y= 2x-5 - 2

Answer 1

Answer:(-1,-3)

Explanation:

Answer 2

ANSWER

The solution is (1,-3)

EXPLANATION

The given equations are:


`y = {x}^(2) - 4`

and


`y = 2x - 5`

Equate both equations:


`{x}^(2) - 4 = 2x - 5`


`{x}^(2) - 2x - 4 + 5 = 0`


`{x}^(2) - 2x + 1 = 0`


`(x - 1)(x - 1) = 0`


`x = 1`

Put x=1 into any of the equations, preferably equation (2)


`y = 2(1) - 5 = - 3`

The solution is (1,-3)