8
lesson pretestMultiple Choice

Pretest

Question 8 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which statement correctly explains how Mari could find the solution to the following system of linear equations using elimination? 2 f minus 5 g is equal to negative 9 negative 7 f plus 3 g is equal to 4

Answer
A
Multiply the first equation by negative 3 and the second equation by negative 5 , and then subtract.
B
Multiply the first equation by 7 and the second equation by 2 , and then add.
C
Multiply the first equation by 3 and the second equation by 5 , and then subtract.
D
Multiply the first equation by negative 7 and the second equation by 2 , and then add.

Explanation

Multiply the first equation by 7 to get 14f − 35g = −63, and the second equation by 2 to get −14f + 6g = 8. Adding these equations cancels the f terms because 14f + (−14f) = 0, leaving an equation with only g. So the correct statement is to multiply by 7 and 2, then add.

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