Ashlea W.

asked • 11/20/20# Use the elimination method to find the solution to the sytem 4x-2y=8 and -2x+2y=6

## 1 Expert Answer

Princy P. answered • 11/24/20

Presently, I'm a student of Third Year in Bechlors of Mathematics

Let's solve your system by elimination.

4x−2y=8;−2x+2y=6

Add these equations to eliminate y:

4x-2y=8

-2x+2y=6

___________

2x=14

Then solve2x=14 for x:

2x=14

2x/2=14/2 (Divide both sides by 2)

x=7

Now that we've found x let's plug it back in

to solve for y, write down an original equation:

4x−2y=8

Substitute 7 for x in 4x−2y=8:

(4)(7)−2y=8

−2y+28=8 (Simplify both sides of the equation)

−2y+28+−28=8+−28 (Add -28 to both sides)

−2y=−20

−2y/−2=−20/−2 (Divide both sides by -2)

y=10

Answer:

x=7 and y=10

Princy P.

I can help you in this topic... If you are interested then contact me or massage me.11/24/20

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Princy P.

Wyzant ADD Find an Online Tutor Now LINEAR EQUATIONS Ashlea W. asked • 4d Use the elimination method to find the solution to the sytem 4x-2y=8 and -2x+2y=6 Answered Following 2 Add comment More 1 Expert Answer By: You answered • 41s TUTOR New to Wyzant Presently, I'm a student of Third Year in Bechlors of Mathematics SEE TUTORS LIKE THIS Let's solve your system by elimination. 4x−2y=8;−2x+2y=6 Add these equations to eliminate y: 4x-2y=8 -2x+2y=6 ___________ 2x=14 Then solve2x=14 for x: 2x=14 2x/2=14/2 (Divide both sides by 2) x=7 Now that we've found x let's plug it back in to solve for y, write down an original equation: 4x−2y=8 Substitute 7 for x in 4x−2y=8: (4)(7)−2y=8 −2y+28=8 (Simplify both sides of the equation) −2y+28+−28=8+−28 (Add -28 to both sides) −2y=−20 −2y/−2=−20/−2 (Divide both sides by -2) y=10 Answer: x=7 and y=1011/24/20