Ashlea W.
asked • 11/20/20Use the elimination method to find the solution to the sytem 4x-2y=8 and -2x+2y=6
More
1 Expert Answer
Princy P. answered • 11/24/20
Tutor
New to Wyzant
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.
Report
11/24/20
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
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