6
QuizMultiple Choice

Solving Linear Systems by Substitution — Quiz

Question 6 • Algebra II

What is the solution to the following system of equations? y is equal to 6 x minus 11 negative 2 x minus 3 y is equal to negative 7

Answer
A
open paren negative 1 half comma negative 14 close paren
B
open paren 1 comma negative 5 close paren
C
open paren 2 comma 1 close paren
D
open paren negative 13 tenths comma negative 94 fifths close paren

Explanation

Substitute y = 6x − 11 into the second equation: −2x − 3(6x − 11) = −7. Simplifying gives −20x + 33 = −7, so x = 2. Then y = 6(2) − 11 = 1, so the solution is (2, 1), choice C.

AI-written and checked against the verified answer.

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