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## anonymous 2 years ago Which system will have an infinite number of solutions? A. –4y = –6x + 8 y=3/2x-2 B. –4x + 5y = 8 5y = –4x + 6 C. –2x + 4y = 3 y= 1/2x+6 D. 2x – 6y = 9 5y = –4x + 6

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1. anonymous

A. When you multiply the second equation by -4, it'll be identical to the first one.

2. richyw

they are linear. so to have infinite solutions, they would have to be equivalent expressions.

3. richyw

so checking A $-4y=-6x+8$$4y=6x-8$$y=\frac{6}{4}x-\frac{8}{4}$$y=\frac{3}{2}x-2$

4. richyw

which is the same as the second equation, therefore there are infinite number solutions to this system of equations.

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