11
QuizMultiple Choice

Solving Systems of Linear Equations: Substitution

Question 11 • FL-1200700-Mathematics for College Algebra MIS

What is the solution to the system of equations?y = 1.5x – 4y = –x

Answer
A
(–1.6, 1.6)
B
(–1.5, 1.5)
C
(1.5, –1.5)
D
(1.6, –1.6)

Explanation

Set the two expressions for y equal: 1.5x − 4 = −x. Adding x to both sides gives 2.5x = 4, so x = 1.6. Substitute into y = −x to get y = −1.6. The solution is (1.6, −1.6), choice D.

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