10
QuizMultiple Choice

Solving Systems of Linear Equations: Graphing — Quiz

Question 10 • Algebra I

A system of equations has infinitely many solutions. If 2 y minus 4 x is equal to 6 is one of the equations, which could be the other equation?

Answer
A
negative y is equal to negative 2 x minus 3
B
y is equal to 4 x plus 6
C
negative y is equal to negative 4 x plus 6
D
y is equal to 2 x plus 6

Explanation

Rewrite the given equation, 2y − 4x = 6, by adding 4x to both sides and dividing by 2: y = 2x + 3. For the system to have infinitely many solutions, the other equation must describe the same line. Choice A, −y = −2x − 3, becomes y = 2x + 3 when multiplied by −1, so it is equivalent.

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