anonymous
  • anonymous
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
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
A. When you multiply the second equation by -4, it'll be identical to the first one.
richyw
  • richyw
they are linear. so to have infinite solutions, they would have to be equivalent expressions.
richyw
  • richyw
so checking A \[-4y=-6x+8\]\[4y=6x-8\]\[y=\frac{6}{4}x-\frac{8}{4}\]\[y=\frac{3}{2}x-2\]

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

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