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QuizMultiple Choice

Solving Systems: Introduction to Linear Combinations

Question 1 • FL-1200700-Mathematics for College Algebra MIS

What is the solution to this system of linear equations?y − x = 6y + x = −10

Answer
A
(−2, −8)
B
(−8, −2)
C
(6, −10)
D
(−10, 6)

Explanation

Add the equations y − x = 6 and y + x = −10; the x terms cancel, giving 2y = −4, so y = −2. Substitute into y + x = −10 to get −2 + x = −10, so x = −8. The solution is (x, y) = (−8, −2), choice B.

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