anonymous
  • anonymous
How many solutions does this system of equations have? 5x-4y=11 4y=5x-9
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
use the substitution method
anonymous
  • anonymous
or check the slopes to see if they're the same
UnkleRhaukus
  • UnkleRhaukus
first equation\[5x-4y=11\]\[4y=5x-11\]\[y=5/4x-11/4\] second equation \[4y=5x-9\]\[y=5/4x=9/4\] looking at the general forms of these equations we can see that they have the same slope and different intercepts, this means the lines are parallel and thus there is no solution

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UnkleRhaukus
  • UnkleRhaukus
*\[y=5/4x-9/4\]
anonymous
  • anonymous
oh okay. I think i understand this a little bit better now. Thanks so all! God bless!

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