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

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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 amFollowed by: 2 members

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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Source: Beat The GMAT — Problem Solving | Tue Nov 10, 2020 7:40 am

gmatter2012: Master | Next Rank: 500 Posts; Posts: 138; Joined: Sat May 05, 2012 7:03 pm; Thanked: 1 times

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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Scott@TargetTestPrep: GMAT Instructor; Posts: 8155; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

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

Scott Woodbury-Stewart
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[email protected]

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