13
QuizMultiple Choice

Solving Systems: Introduction to Linear Combinations

Question 13 • FL-1200700-Mathematics for College Algebra MIS

What is the solution to this system of linear equations?y − 4x = 72y + 4x = 2

Answer
A
(3, 1)
B
(1, 3)
C
(3, −1)
D
(−1, 3)

Explanation

Interpret the equations as y − 4x = 7 and 2y + 4x = 2. Adding them eliminates x and gives 3y = 9, so y = 3. Substituting into 2y + 4x = 2 gives 6 + 4x = 2, so x = −1. The solution is (−1, 3), choice D.

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