12
QuizMultiple Choice

Modeling with Two-Variable Linear Inequalities — Unit test

Question 12 • AL-Algebra I with Probability Critical Standards

What is the solution to this system of linear equations?3x – 2y = 14 5x + y = 32

Answer
A
(3, 5)
B
(6, 2)
C
(8, –1)
D
(14, –18)

Explanation

From 5x + y = 32, solve for y: y = 32 − 5x. Substitute into 3x − 2y = 14: 3x − 2(32 − 5x) = 14, so 13x = 78 and x = 6. Then y = 32 − 30 = 2, so the solution is (6, 2), choice B.

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