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If x + y = 5y - 13 and x - y = 5, then x =

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pmFollowed by: 1 member

by BTGModeratorVI » Mon Sep 07, 2020 7:01 am

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If x + y = 5y - 13 and x - y = 5, then x =

A. 11
B. 12
C. 13
D. 14
E. 15

Answer: A
Source: Kaplan

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Source: Beat The GMAT — Problem Solving | Mon Sep 07, 2020 7:01 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

Re: If x + y = 5y - 13 and x - y = 5, then x =

by Brent@GMATPrepNow » Sun Sep 13, 2020 5:24 am

BTGModeratorVI wrote: ↑
Mon Sep 07, 2020 7:01 am
If x + y = 5y - 13 and x - y = 5, then x =

A. 11
B. 12
C. 13
D. 14
E. 15

Answer: A
Source: Kaplan

GIVEN:
x + y = 5y − 13
x − y = 5

Rearrange the terms in the top equation to get:
x - 4y = -13
x − y = 5

Take the bottom equation and multiply both sides by 4 to get:
x - 4y = -13
4x - 4y = 20

Now subtract the bottom equation from the top equation to get: -3x = -33
Divide both sides by -3 to get x = 11

Answer: A

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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