MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

ANSWER[tex](0,-2), (1,0)[/tex]EXPLANATIONThe first equation is [tex]y = {x}^{2} + x - 2[/tex]The second equation is [tex]y = 2x - 2[/tex]We equate both equations to get,[tex] {x}^{2} + x - 2 = 2x - 2[/tex][tex] {x}^{2} + x - 2x - 2 + 2 = 0[/tex]Simplify [tex] {x}^{2} - x = 0[/tex]Factor[tex]x(x - 1) = 0[/tex]Either[tex]x = 0[/tex]Or[tex]x - 1 = 0[/tex][tex]x = 1[/tex]Put x=0 or x=1 into the second equation to get,[tex]y = 2(0) - 2 = - 2[/tex]Or[tex]y = 2(1) - 2 = 0[/tex]Therefore the solutions are;[tex](0,-2), (1,0)[/tex]