Solving Systems of Linear Equations: Substitution — Quiz
Question 9 • Algebra I
What is the solution to the system of equations? y is equal to negative 3 x minus 2 5 x plus 2 y is equal to 15
Answer
A
19 comma negative 40
B
55 comma negative 19
C
negative 19 comma 55
D
negative 40 comma 19
Explanation
Substitute y = -3x - 2 into 5x + 2y = 15: 5x + 2(-3x - 2) = 15. Simplifying gives -x - 4 = 15, so x = -19. Then y = -3(-19) - 2 = 55, making the solution (-19, 55), choice C.
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