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Mathematics 14 Online
OpenStudy (anonymous):

Please help? Will give medal! Determine which system below will produce infinitely many solutions. A. -4x + 6y = 20 4x - 3y = -2 B. -2x + 4y = 18 4x - 8y = -36 C. 3x - 2y = 5 -6x - 4y = -10 D. 5x - 3y = 12 15x - 9y = 24 I chose C, is that right?

OpenStudy (anonymous):

Is it because it's a fraction?

OpenStudy (anonymous):

It's not C

OpenStudy (anonymous):

B is x=-7 and y=1

OpenStudy (anonymous):

and D is x=0 and y=-4

OpenStudy (mathmale):

First, please ask yourself: What does a system of linear equations with infinitely many solutions look like?

OpenStudy (anonymous):

You can't divide by 0, so I'm leaning towards B

OpenStudy (anonymous):

@mathmale

OpenStudy (mathmale):

Option B includes two equations. Is one of them a constant multiple of the other? If yes, then this system of linear equations has infinitely many solutions.

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