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27x-13y=0

3x-y=4y/9

9x-4y=y/3

27x-12y=y

Find x and y

 Aug 8, 2016
 #1
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1)  27x - 13y  =  0

 

2)  3x - y  =  4y/9

     Multiply each side by 9:             27x - 9y  =  4y

     Subtract 4y from both sides:     27x - 13y  =  0

     This is the same equation as equation1).

 

3)  9x - 4y  =  y/3

     Multiply each side by 3:           27x - 12y  =  y

     Subtract y from both sides:     27x - 13y  =  0

     This, also, is the same equation as equation 1).

 

4)  27x - 12y  =  y

     Subtract y from both sides:     27x - 13y  =  0

     This, also, is the same equation as equation 1).

 

There are an infinite number of solutions to  27x - 13y  =  0.

Two are:  (0, 0)  and  (13, 27).

 Aug 8, 2016

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