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If 2x + y = 7, what is the value of x ? (1) y = 3 (2) 3x + y = 9

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Bunuel
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If 2x + y = 7, what is the value of x ? (1) y = 3 (2) 3x + y = 9 [#permalink] New post   06 Mar 2020, 04:35
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If 2x + y = 7, what is the value of x ?

(1) y = 3
(2) 3x + y = 9
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D
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Re: If 2x + y = 7, what is the value of x ? (1) y = 3 (2) 3x + y = 9 [#permalink] New post   06 Mar 2020, 04:41
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1.) 2x+3=7
2x=4
x=2

2.) 3x+y=9
- 2x+y=7
x=2

Answer - D

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BrentGMATPrepNow
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Re: If 2x + y = 7, what is the value of x ? (1) y = 3 (2) 3x + y = 9 [#permalink] New post   26 Jun 2021, 08:22
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Bunuel wrote:
If 2x + y = 7, what is the value of x ?

(1) y = 3
(2) 3x + y = 9


Given: 2x + y = 7

Target question: What is the value of x ?

Statement 1: y = 3
Substitute into the given equation to get: 2x + (3) = 7
Solve to get x = 2
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: 3x + y = 9
We can rewrite this equation as follows: x + (2x + y) = 9
Since the given information tells us that 2x + y = 7, we can take x + (2x + y) = 9 and substitute to get: x + 7 = 9
Solve to get x = 2
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

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Re: If 2x + y = 7, what is the value of x ? (1) y = 3 (2) 3x + y = 9 [#permalink] New post   06 Mar 2020, 04:37
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Bunuel wrote:
If 2x + y = 7, what is the value of x ?

(1) y = 3
(2) 3x + y = 9


2x + y = 7

Question: x = ?

Statement 1: y = 3

i.e. 2x = 7-3 = 4
i.e. x = 2

SUFFICIENT

Statement 2: 3x + y = 9
Solving 3x + y = 9 and 2x + y = 7

x = 2

SUFFICIENT

Answer: Option D
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Re: If 2x + y = 7, what is the value of x ? (1) y = 3 (2) 3x + y = 9 [#permalink] New post   06 Mar 2020, 04:48
Each statement is sufficient alone.
Statement 1: if we put y=3 in eq it will give X=2
Also, Statement 2: if w equate both equations. We will get X=2.
So either of the statement is sufficient.Giving OA as D.

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Re: If 2x + y = 7, what is the value of x ? (1) y = 3 (2) 3x + y = 9 [#permalink]
06 Mar 2020, 04:48
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Bunuel
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