2
QuizMultiple Choice

Solving Systems of Linear Equations: Graphing

Question 2 • Algebra III A

A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?

Answer
A
2y = 16x +14
B
y = 8x – 7
C
y = –8x + 7
D
2y = −16x − 14

Explanation

For a system to have no solution, the lines must be parallel but have different y-intercepts. The given equation is y = 8x + 7, with slope 8 and y-intercept 7. Choice B, y = 8x − 7, has the same slope but a different y-intercept, so the lines never intersect.

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