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Solve the following system of linear equations using elimination. -2x-4y=2 4x-4y=20

1 Answer

4 votes

(3, -2)

1) Let's solve for the Elimination Method, multiplying the first equation by -1

-2x-4y=2 x-1

4x-4y=20​

2) Now we can eliminate the y-terms on the addition of both equations:

2x +4y= -2

4x -4y= 20

----------------------

6x = 18 Divide both sides by 6

x =3

2.2) Plugging x=3 into any of those equations, let's pick the 1st one:

2(3) +4y = -2

6 +4y= -2

4y = -2 -6

4y = -8

y= -2

Testing those solutions:

-2(3)-4(-2)=2

-6 +8 =2

2 =2 True

4x-4y=20​

User Thomas Koschel
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