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Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -
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03 Mar 2021, 02:29
03 Mar 2021, 02:29
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Question Stats:
76% (01:30) correct
23% (02:09) wrong based on 26 sessions
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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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. -2
B. -1
C. 0
D. 1
E. 2
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
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Location: India
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Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -
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03 Mar 2021, 03:38
03 Mar 2021, 03:38
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Carcass 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
A. -2
B. -1
C. 0
D. 1
E. 2
2x + y + z = 3 ......... (1)
5x + 3y + z = 8 ......... (2)
Multiplying (1) by 2 and subtracting from (2);
5x + 3y + z = 8
4x + 2y + 2z = 6
x + y - z = 2
Hence, option E
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
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Re: Given 2x + y + z = 3 and 5x + 3y + z = 8, what is the value of x + y -
[#permalink]
03 Mar 2021, 07:28
03 Mar 2021, 07:28
1
Carcass 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
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
