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

Answer:

(0, -2) (1, 0)

Step-by-step explanation:

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Answer 2

ANSWER

$(0,-2), (1,0)$

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;

$(0,-2), (1,0)$