16
QuizMultiple Choice

Systems of Equations and Inequalities — Test

Question 16 • Mathematics I

What is the solution to this system of linear equations? 3 x minus 2 y is equal to 14; 5 x plus y is equal to 32

Answer
A
3 comma 5
B
6 comma 2
C
14 comma negative 18
D
8 comma negative 1

Explanation

From 5x + y = 32, solve for y: y = 32 − 5x. Substitute into the first equation: 3x − 2(32 − 5x) = 14, which simplifies to 13x = 78, so x = 6. Then y = 32 − 5(6) = 2, giving the solution (6, 2), choice B.

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