7
QuizMultiple Choice

Solving Systems of Linear Equations: Substitution

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

What is the solution to the system of equations?y = –3x – 25x + 2y = 15

Answer
A
(–40, 19)
B
(–19, 55)
C
(19, –40)
D
(55, –19)

Explanation

Read the equations as y = −3x − 2 and 5x + 2y = 15. Substitute the first equation into the second: 5x + 2(−3x − 2) = 15, which simplifies to −x − 4 = 15, so x = −19. Then y = −3(−19) − 2 = 55, giving (−19, 55), choice B.

AI-written and checked against the verified answer.

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