Solve System of Equations by elimination (show work)

Algebra
Tutor: None Selected Time limit: 1 Day

1) 3x-2y=2       2) 2x+8y=6      3) 3+2x-y=0

5x-5y=10            -5x-5y=10          -3-7y=10x

Jul 1st, 2015

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1) multiply first equation by 5 and second by -3

     15x-10y=10

     -15x+15y=-30

              5y=-20

                y=-4

put Y in first equation

3x-2(-4)=2

x=-2

(x,y)=(-2,-4)

2)Multiply first equation by 5 and second by 2

   10x+40y=30

 -10x-10y=20

           30y=50

               y=5/3

put y in equation first

2x+8(5/3)=6

2x=6-40/3

x=11/3

(x,y)=(11/3,5/3)

3)multiply first equation by -7 

-14x+7y=21

-10x-7y=3

x=-1

put x in second equation

-7y=-7

y=1

(x,y)=(-1,1)



Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 1st, 2015

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