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

[Gmat_mission]

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

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

Answer: E

Source: Magoosh

[GMATStudyStudent]

5x-3y = 7
-4x+2y = 3
Adding the equations:
x-y = 10
2x-2y = 20

[psarma]

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

[Scott@TargetTestPrep]

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