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If \(5(x+y)=125\) and \(3(x-3y)=19,\) then \(y =\)

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by Gmat_mission » Tue Nov 10, 2020 7:40 am
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If \(5(x+y)=125\) and \(3(x-3y)=19,\) then \(y =\)

A. \(-\dfrac52\)

B. \(\dfrac14\)

C. \(\dfrac12\)

D. \(\dfrac52\)

E. \(\dfrac54\)

Answer: E

Source: Magoosh
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Re: If \(5(x+y)=125\) and \(3(x-3y)=19,\) then \(y =\)

by gmatter2012 » Mon Nov 16, 2020 5:19 am
Gmat_mission wrote: ↑
Tue Nov 10, 2020 7:40 am
 If \(5(x+y)=125\) and \(3(x-3y)=19,\) then \(y =\)

A. \(-\dfrac52\)

B. \(\dfrac14\)

C. \(\dfrac12\)

D. \(\dfrac52\)

E. \(\dfrac54\)

Answer: E

Source: Magoosh
This question is wrong at so many levels
Here is the proper question

https://gmatclub.com/forum/if-5-x-y-125 ... 74201.html
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Re: If \(5(x+y)=125\) and \(3(x-3y)=19,\) then \(y =\)

by Scott@TargetTestPrep » Sat Nov 28, 2020 1:38 pm
Gmat_mission wrote: ↑
Tue Nov 10, 2020 7:40 am
 If \(5(x+y)=125\) and \(3(x-3y)=19,\) then \(y =\)

A. \(-\dfrac52\)

B. \(\dfrac14\)

C. \(\dfrac12\)

D. \(\dfrac52\)

E. \(\dfrac54\)

Answer: E

Solution:

Simplifying each equation (dividing by 5 in the first equation and by 3 in the second equation), we have x + y = 25 and x - 3y = 19/3. Now, subtracting the second equation from the first, we have:

4y = 25 - 19/3

4y = 56/3

y = 14/3

Answer: 14/3

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