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x=1−2y, and 5x+10y+z=5. What is the value of z?
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20 Feb 2021, 06:02
20 Feb 2021, 06:02
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x=1−2y, and 5x+10y+z=5. What is the value of z?
A. -5
B. 0
C. 5
D. 10
E. The answer cannot be determined from the data provided.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. -5
B. 0
C. 5
D. 10
E. The answer cannot be determined from the data provided.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: x=1−2y, and 5x+10y+z=5. What is the value of z?
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20 Feb 2021, 06:20
20 Feb 2021, 06:20
1
Solution:
Although we have 3 variables, the Answer could still be found. So try to find the answer, rather than choosing option E directly without solving.
x=1-2y
5x+10y+z=5
Substituting x=1-2y in the other equation
5(1-2y)+10y-z=5
5-10y+10y-z=5
z=5-5
z=0
IMO B
Hope this helps!
Although we have 3 variables, the Answer could still be found. So try to find the answer, rather than choosing option E directly without solving.
x=1-2y
5x+10y+z=5
Substituting x=1-2y in the other equation
5(1-2y)+10y-z=5
5-10y+10y-z=5
z=5-5
z=0
IMO B
Hope this helps!
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Posts: 6218
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Re: x=1−2y, and 5x+10y+z=5. What is the value of z?
[#permalink]
20 Feb 2021, 07:02
20 Feb 2021, 07:02
2
Carcass wrote:
x=1−2y, and 5x+10y+z=5. What is the value of z?
A. -5
B. 0
C. 5
D. 10
E. The answer cannot be determined from the data provided.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. -5
B. 0
C. 5
D. 10
E. The answer cannot be determined from the data provided.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Given: x = 1 - 2y
Add 2y to both sides to get: x + 2y = 1
Given: 5x + 10y + z = 5
Notice that we have x + 2y "hiding" in this expression.
Rewrite the first two terms as follows: 5(x + 2y) + z = 5
Replace x + 2y with 1 to get: 5(1) + z = 5
Simplify: 5 + z = 5
Solve: z = 0
Cheers,
Brent
