7
QuizMultiple Choice

Exploring Systems of Linear Equations — Quiz

Question 7 • Mathematics 8

Which ordered pair is the solution to the system of linear equations y is equal to 5 x plus 8 and y is equal to negative 4 x minus 1 ?

Answer
A
open paren negative 3 comma 1 close paren
B
open paren 3 comma negative 1 close paren
C
open paren negative 1 comma 3 close paren
D
open paren 1 comma negative 3 close paren

Explanation

At the solution, both expressions for y must be equal, so set 5x + 8 = -4x - 1. Solving gives 9x = -9, so x = -1; substituting into y = 5x + 8 gives y = 3. Therefore, the solution is (-1, 3), choice C.

AI-written and checked against the verified answer.

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