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If \(5x - 3y = 7\) and \(2y - 4x = 3,\) then \(2x - 2y =\)

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Re: If \(5x - 3y = 7\) and \(2y - 4x = 3,\) then \(2x - 2y =\)

by GMATStudyStudent » Thu Oct 01, 2020 9:38 am
5x-3y = 7
-4x+2y = 3
Adding the equations:
x-y = 10
2x-2y = 20
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Junior | Next Rank: 30 Posts
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Re: If \(5x - 3y = 7\) and \(2y - 4x = 3,\) then \(2x - 2y =\)

by psarma » Thu Oct 01, 2020 3:11 pm
5x-3y=7
2y-4x=3
Add both the equations:
x-y=10
so 2(x-y)=2(10)
i.e 2x-2y=20

Answer E
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Re: If \(5x - 3y = 7\) and \(2y - 4x = 3,\) then \(2x - 2y =\)

by Scott@TargetTestPrep » Tue Oct 06, 2020 3:20 am
Gmat_mission wrote: ↑
Thu Oct 01, 2020 7:09 am
 If \(5x - 3y = 7\) and \(2y - 4x = 3,\) then \(2x - 2y =\)

A. -4
B. 4
C. 8
D. 16
E. 20

Answer: E

Solution:

If we add the two equations, we have:

x - y = 10

Therefore, 2x - 2y = 2(x - y) = 2(10) = 20.

Answer: E

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