7
QuizMultiple Choice

Solving Systems: Introduction to Linear Combinations

Question 7 • FL-1200700-Mathematics for College Algebra MIS

What is the solution to this system of linear equations?2x + y = 13x – y = –6

Answer
A
(–1, 3)
B
(1, –1)
C
(2, 3)
D
(5, 0)

Explanation

Read the system as 2x + y = 1 and 3x − y = −6. Add the equations to eliminate y: 5x = −5, so x = −1. Substituting into 2x + y = 1 gives y = 3, so the solution is (−1, 3), choice A.

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