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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. -2B. -1C. 0D. 1E. 2Source: 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. -2B. -1C. 0D. 1E. 2Given: 2x + y + z = 3 and 5x + 3y + z = 8Take 2x + y + z = 3 and multiply both sides by 2 to get the EQUIVALENT fraction: 4x + 2y + 2z = 6We now have: 5x + 3y + z = 84x + 2y + 2z = 6Subtract the bottom equation from the top equation to get: x + y - z = 2Answer: ECheers,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. -2B. -1C. 0D. 1E. 2Source: GMATQuantumA 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+y-z=2Hence 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 = 2E. 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 = 35x +3y + z = 8Multiply the first equation by 2 and subtract it from the 2nd equationx+y-z = 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$$5x + 3y + z = 8$$ ====> 2Multiply Eq. 1 by 2$$4x + 2y + 2z = 6$$ ===> 3Substract Eq. 3 from 2 $$5x + 3y + z = 8$$-$$(4x + 2y + 2z = 6)$$We Get:$$x + y - z = 2$$Hence, Answer is EDid 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. -2B. -1C. 0D. 1E. 2Source: GMATQuantumANSWER:==== 2x + y + z = 3 and 5x + 3y + z = 8Multiply both sides of 2x + y + z = 3 by 2 to get 4x + 2y + 2z = 65x + 3y + z = 84x + 2y + 2z = 6Subtract them to get x + y - z = 2Hence 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. -2B. -1C. 0D. 1E. 2 We can multiply the first equation by -2, and we have:-4x - 2y - 2z = -6Adding the above equation with the equation 5x + 3y + z = 8, we have:x + y - z = 2Answer: 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. -2B. -1C. 0D. 1E. 2Source: GMATQuantumGiven: 2x + y + z = 3 (1)5x + 3y + z = 8 (2)Asked: what is the value of x + y - z?(2)-2*(1) givesx+y-z=8-2*3=2IMO EPosted 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+y-z = 1+1-0 = 2

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