14
QuizMultiple Choice

Modeling with Two-Variable Linear Inequalities — Unit test

Question 14 • AL-Algebra I with Probability Critical Standards

What is the solution to this system of linear equations?7x – 2y = –68x + y = 3

Answer
A
(–6, 3)
B
(0, 3)
C
(1, –5)
D
(15, –1)

Explanation

Read the system as 7x − 2y = −6 and 8x + y = 3. Substituting y = 3 − 8x from the second equation into the first gives 7x − 2(3 − 8x) = −6, so 23x = 0 and x = 0; then y = 3. The solution is (0, 3), choice B.

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