51.5k views
4 votes
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
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories