Question

Find the solution(s) to the system of equations. Select all that apply
y=x^2-1
y=2x-2

Answer 1

(1,0)

Explanation:

Replace x values and y values with the answer choices.

`y=(1)^2- 1 = 0`

`y= 2(1)-2=0`

Since the coordinate pair
`(1,0)` it is safe to assume that D will be the correct answer.

Use the graph to confirm that the solution is (1,0)

The blue line intersects at (1,0), so the solution for the system of equations is (1,0)

Answer 2

Explanation:

y = x^2 - 1

y = 2x - 2

x^2 - 1 = 2x - 2

x^2 - 2x + 1 = 0

(x - 1)^2 = 0

x = 1

Because x = 1 the answer must be D (1, 0).