3
QuizMultiple Choice

Exploring Systems of Linear Equations — Quiz

Question 3 • Mathematics 8

Which ordered pair is the solution to the system of linear equations y is equal to negative 7 x plus 2 and y is equal to 9 x minus 14 ?

Answer
A
open paren 5 comma negative 1 close paren
B
open paren negative 5 comma 1 close paren
C
open paren 1 comma negative 5 close paren
D
open paren negative 1 comma 5 close paren

Explanation

At the solution, both expressions for y must be equal. Set -7x + 2 = 9x - 14, which gives 16 = 16x and therefore x = 1. Substituting x = 1 into either equation gives y = -5, so the solution is (1, -5), choice C.

AI-written and checked against the verified answer.

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