6
QuizMultiple Choice

Solving Systems of Linear Equations: Graphing

Question 6 • Algebra III A

y=–6x+2–12x – 2y=–4

Answer
A
one solution: (0, 0)
B
one solution: (1, –4)
C
no solution
D
infinite number of solutions

Explanation

Rearrange the second equation, −12x − 2y = −4, by dividing both sides by −2 to get 6x + y = 2, or y = −6x + 2. This is identical to the first equation, so both equations describe the same line and have infinitely many solutions: choice D.

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