6
QuizMultiple Choice

Solving Systems: Introduction to Linear Combinations

Question 6 • FL-1200700-Mathematics for College Algebra MIS

What is the solution to this system of linear equations?x − 3y = −2x + 3y = 16

Answer
A
(7, 3)
B
(3, 7)
C
(−2, −3)
D
(−3, −2)

Explanation

Add the equations x − 3y = −2 and x + 3y = 16 to eliminate y, giving 2x = 14, so x = 7. Substitute into x + 3y = 16: 7 + 3y = 16, so y = 3. The solution is (7, 3), choice A.

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