5
QuizMultiple Choice

Systems of Equations and Inequalities — Test

Question 5 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which statement correctly explains how Andre could find the solution to the following system of linear equations using elimination? 8 s minus 9 t is equal to 15 7 s minus 2 t is equal to 12

Answer
A
Multiply the first equation by 2 and the second equation by 9 , and then add.
B
Multiply the first equation by negative 7 and the second equation by 8 , and then add.
C
Multiply the first equation by negative 2 and the second equation by 9 , and then subtract.
D
Multiply the first equation by negative 7 and the second equation by 8 , and then subtract.

Explanation

Multiply the first equation by −7 to get −56s + 63t = −105, and multiply the second by 8 to get 56s − 16t = 96. Adding the equations cancels the s-terms, leaving 47t = −9. Therefore, the correct choice is D: multiply the first equation by −7 and the second by 8, then add.

AI-written and checked against the verified answer.

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