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# x=1−2y, and 5x+10y+z=5. What is the value of z?

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x=1−2y, and 5x+10y+z=5. What is the value of z?  [#permalink]

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23 Feb 2017, 06:30
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5% (low)

Question Stats:

86% (00:51) correct 14% (01:16) wrong based on 137 sessions

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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.

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Re: x=1−2y, and 5x+10y+z=5. What is the value of z?  [#permalink]

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23 Feb 2017, 06:36
z = 5 - 5x - 10y
substitute x = 1-2y in the above equation.

z = 5-5+10y-10Y = 0
Option B
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Re: x=1−2y, and 5x+10y+z=5. What is the value of z?  [#permalink]

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23 Feb 2017, 06:38
By setting z= 0, i re-arranged
5x+10y+0=5
5x=5-10y
X= 1-2y which is equal to the 1st equation.

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Re: x=1−2y, and 5x+10y+z=5. What is the value of z?  [#permalink]

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23 Feb 2017, 08:57
Bunuel 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.

$$5x + 10y + z = 5$$

Substitute, $$x = 1 − 2y$$ in the equation -

Or, $$5 ( 1 − 2y ) + 10y + z = 5$$

Or, $$5 − 10y + 10y + z = 5$$

Or, $$z = 0$$

Hence, z = 0, answer will be (B) 0
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Re: x=1−2y, and 5x+10y+z=5. What is the value of z?  [#permalink]

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23 Feb 2017, 09:20
Top Contributor
Bunuel 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.

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
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x=1−2y, and 5x+10y+z=5. What is the value of z?  [#permalink]

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Updated on: 27 Feb 2017, 18:24
Bunuel 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.

Hi,

Easy Question

x=1−2y, and 5x+10y+z=5

Sunstitute x=1-2y==>5(1-2y)+10y+z=5==>5-10y+10y+z=5

z=0

B

Typo Edited
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Originally posted by NandishSS on 23 Feb 2017, 10:21.
Last edited by NandishSS on 27 Feb 2017, 18:24, edited 1 time in total.
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Re: x=1−2y, and 5x+10y+z=5. What is the value of z?  [#permalink]

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27 Feb 2017, 11:49
Bunuel 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.

We are given that x = 1 − 2y and 5x + 10y + z = 5.

We can substitute 1 − 2y for x in the equation 5x + 10y + z = 5:

5(1 - 2y) + 10y + z = 5

5 -10y + 10y + z = 5

5 + z = 5

z = 0

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Re: x=1−2y, and 5x+10y+z=5. What is the value of z? &nbs [#permalink] 27 Feb 2017, 11:49
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