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# 4x+2y=14 solve with elimination

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4x+2y=14

Guest Nov 30, 2017
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Guest Nov 30, 2017
#3
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We need two equations in order to use elimination....

CPhill  Nov 30, 2017
#4
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2x+4y=22

2x-2y=14

Guest Nov 30, 2017
#5
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2x + 4y  =  22

2x - 2y  =  14

Multiply the second equation through by  2 . So the two equations become:

2x + 4y  =  22

4x - 4y  =  28

Now add the two equations together to get...

6x + 0  =  50

6x  =  50          Divide both sides of this equation by  6 .

x  =  25/3

Now lets plug this value for  x  back into one of the equations to find  y .

2(25/3) + 4y  =  22         Multiply  2(25/3)  to get  50/3 .

50/3 + 4y  =  22              Subtract  50/3  from both sides of this equation.

4y  =  22 - 50/3

4y  =  16/3                      Divide both sides by  4 .

y  =  4/3

hectictar  Nov 30, 2017

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