5
QuizMultiple Choice

Solving Linear-Quadratic Systems — Quiz

Question 5 • Mathematics II

Which represents the solution(s) of the graphed system of equations, y is equal to x squared plus x minus 2 and y is equal to 2 x minus 2 ? Expand Image

Answer
A
negative 2 comma 0 and 1 comma 0
B
0 comma negative 2 and 0 comma 1
C
0 comma negative 2 and 1 comma 0
D
negative 2 comma 0 and 0 comma 1

Explanation

At an intersection, both equations have the same y-value, so set them equal: x² + x − 2 = 2x − 2. Simplifying gives x² − x = 0, or x(x − 1) = 0, so x = 0 or x = 1. Substituting into y = 2x − 2 gives the points (0, −2) and (1, 0), which is choice C.

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