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8x-3y=22

6x+2y=12

 Mar 6, 2017
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8x-3y=22     multiply through by 6  →   48x - 18y = 132     (1)

6x+2y=12   multiply through by -8 →   -48x -16y =  -96      (2)

 

Add (1)  and (2)  and we get

 

-34y =  36     divide through by -34

 

y = -36/34  =  -18/17

 

And using any of the equations to find x we have

 

6x + 2(-18/17)  = 12

 

6x - 36/17 = 12

 

6x  =  12 + 36/17    divide both sides by 6

 

x = 2 + 6/17  =   40/17

 

 

cool cool cool

 Mar 6, 2017

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