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3x plus 2y equals 8 2x plus 5y equals -2

Guest Mar 21, 2017
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3x + 2y = 8     multiply through by  2 →   6x + 4y  = 16     (1)

2x + 5y = -2    multiply through by -3 →  -6x - 15y = 6      (2)

 

Add (1)  and (2)  and we get

 

-11y  = 22     divide both sides  by (-11)   and  y  = - 22/11   =  -2

 

Sub this into 3x + 2y  = 8 to find x

 

3x + 2(-2)  = 8

3x - 4  = 8       add 4 to both sides

3x  = 12        divide both sides by 3

x = 4   

 

 

 

cool cool cool

CPhill  Mar 21, 2017

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