Question

Which represents the solution(s) of the graphed system of equations, y = x2 + x – 2 and y = 2x – 2? (–2, 0) and (0, 1) (0, –2) and (1, 0) (–2, 0) and (1, 0) (0, –2) and (0, 1) Mark this and return

Answer 1

(0, -2) (1, 0)

Explanation:

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Answer 2

`(0,-2), (1,0)`

EXPLANATION

The first equation is

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

The second equation is

`y = 2x - 2`

We equate both equations to get,

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

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

Simplify

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

Factor

`x(x - 1) = 0`

Either

`x = 0`

Or

`x - 1 = 0`

`x = 1`

Put x=0 or x=1 into the second equation to get,

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

Or

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

Therefore the solutions are;

`(0,-2), (1,0)`