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QuizMultiple Choice

Solving Systems of Linear Equations: Substitution — Quiz

Question 1 • Algebra I

What is the solution to the system of equations? y is equal to 1 third x minus 10 2 x plus y is equal to 4

Answer
A
negative 6 comma 16
B
6 comma negative 8
C
negative 8 comma 6
D
16 comma negative 6

Explanation

Substitute y = (1/3)x − 10 into 2x + y = 4: 2x + (1/3)x − 10 = 4. Combining terms gives (7/3)x = 14, so x = 6. Then y = (1/3)(6) − 10 = −8, so the solution is 6, −8, which is choice B.

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