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Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  https://gmatclub.com/forum/given2xyz3and5x3yz8whatisthevalueofxy209752.html 
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Author:  Bunuel [ 09 Dec 2015, 07:41 ] 
Post subject:  Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  
Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  z ? A. 2 B. 1 C. 0 D. 1 E. 2 Source: GMATQuantum 
Author:  BrentGMATPrepNow [ 09 Dec 2015, 07:54 ] 
Post subject:  Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  
Bunuel wrote: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  z ? A. 2 B. 1 C. 0 D. 1 E. 2 Given: 2x + y + z = 3 and 5x + 3y + z = 8 Take 2x + y + z = 3 and multiply both sides by 2 to get the EQUIVALENT fraction: 4x + 2y + 2z = 6 We now have: 5x + 3y + z = 8 4x + 2y + 2z = 6 Subtract the bottom equation from the top equation to get: x + y  z = 2 Answer: E Cheers, Brent 
Author:  rohan89 [ 09 Dec 2015, 09:20 ] 
Post subject:  Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  
Bunuel wrote: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  z ? A. 2 B. 1 C. 0 D. 1 E. 2 Source: GMATQuantum A quick one! Subtract Eq 1 from Eq2 ( both are given) I got 3x+2y=5 wheni did that. Again, from this equation, subtract eq1 ( 2x+y+z=3) The answer is x+yz=2 Hence E 
Author:  peachfuzz [ 09 Dec 2015, 16:05 ] 
Post subject:  Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  
Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  z ? 5x + 3y + z = 8 2(2x + y + z = 3) which equals x + y  z = 2 E. 2 
Author:  NagrajB [ 09 Dec 2015, 17:31 ] 
Post subject:  Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  
2x + y + z = 3 5x +3y + z = 8 Multiply the first equation by 2 and subtract it from the 2nd equation x+yz = 8  6 = 2 
Author:  ydmuley [ 16 Jul 2017, 13:22 ] 
Post subject:  Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  
Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  z ? \(2x + y + z = 3\) ====> 1 \(5x + 3y + z = 8\) ====> 2 Multiply Eq. 1 by 2 \(4x + 2y + 2z = 6\) ===> 3 Substract Eq. 3 from 2 \(5x + 3y + z = 8\) \((4x + 2y + 2z = 6)\) We Get: \(x + y  z = 2\) Hence, Answer is E Did you like the answer? 1 Kudos Please 
Author:  Inten21 [ 17 Jul 2017, 10:20 ] 
Post subject:  Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  
Bunuel wrote: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  z ? A. 2 B. 1 C. 0 D. 1 E. 2 Source: GMATQuantum ANSWER: ==== 2x + y + z = 3 and 5x + 3y + z = 8 Multiply both sides of 2x + y + z = 3 by 2 to get 4x + 2y + 2z = 6 5x + 3y + z = 8 4x + 2y + 2z = 6 Subtract them to get x + y  z = 2 Hence the answer is E 
Author:  JeffTargetTestPrep [ 20 Jul 2017, 15:37 ] 
Post subject:  Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  
Bunuel wrote: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  z ? A. 2 B. 1 C. 0 D. 1 E. 2 We can multiply the first equation by 2, and we have: 4x  2y  2z = 6 Adding the above equation with the equation 5x + 3y + z = 8, we have: x + y  z = 2 Answer: E 
Author:  Kinshook [ 22 Aug 2019, 18:20 ] 
Post subject:  Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  
Bunuel wrote: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  z ? A. 2 B. 1 C. 0 D. 1 E. 2 Source: GMATQuantum Given: 2x + y + z = 3 (1) 5x + 3y + z = 8 (2) Asked: what is the value of x + y  z? (2)2*(1) gives x+yz=82*3=2 IMO E Posted from my mobile device 
Author:  santhosh1797 [ 22 Sep 2022, 09:24 ] 
Post subject:  Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y  
Quick solution: Plug in numbers x=1, y=1, z=0 which satisfies both equations which is easy to guess. Therefore, x+yz = 1+10 = 2 
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