3
QuizMultiple Choice

Solving Systems: Introduction to Linear Combinations

Question 3 • FL-1200700-Mathematics for College Algebra MIS

What is the solution to this system of linear equations?2x + 3y = 37x – 3y = 24

Answer
A
(2, 7)
B
(3, –21)
C
(3, –1)
D
(9, 0)

Explanation

Read the system as 2x + 3y = 3 and 7x − 3y = 24. Add the equations to eliminate y: 9x = 27, so x = 3. Substitute into 2x + 3y = 3: 6 + 3y = 3, giving y = −1. The solution is (3, −1), choice C.

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