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# What is the value of x? (1) 5x + 3y = 15 (2) y = 5 – (5/3)x

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Math Expert
Joined: 02 Sep 2009
Posts: 50623
What is the value of x? (1) 5x + 3y = 15 (2) y = 5 – (5/3)x  [#permalink]

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26 Oct 2016, 21:45
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Difficulty:

25% (medium)

Question Stats:

73% (00:55) correct 27% (00:43) wrong based on 90 sessions

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What is the value of x?

(1) 5x + 3y = 15
(2) y = 5 – (5/3)x

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Joined: 29 Aug 2008
Posts: 110
Re: What is the value of x? (1) 5x + 3y = 15 (2) y = 5 – (5/3)x  [#permalink]

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26 Oct 2016, 21:50
Option E.

Statement 1 gives one equation and 2 variables so we can't solve it. Not sufficient.

Statement 2 is also one eq with 2 variables. Not sufficient.

Together - they are actually same eq's just rearranged.

Option E.
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Re: What is the value of x? (1) 5x + 3y = 15 (2) y = 5 – (5/3)x  [#permalink]

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21 Nov 2017, 14:37
Hi All,

We're asked for the value of X.

1) 5X + 3Y = 15

Fact 1 gives us just 1 equation to work with. Since there are no 'limitations' on the value of X or Y, X could be anything (positive, negative, 0, a fraction, etc.).
Fact 1 is INSUFFICIENT

2) Y = 5 - (5/3)X

Fact 2 also gives us just 1 equation to work with. Since there are no 'limitations' on the value of X or Y, X could be anything (positive, negative, 0, a fraction, etc.).

Since this equation is somewhat 'odd-looking', I'm going to re-write it here:
Y = 5 - (5/3)X
Y + (5/3)X = 5
3Y + 5X = 15
5X + 3Y = 15
Notice how this is the exact SAME equation that we were given in Fact 1...
Fact 2 is INSUFFICIENT

Combined, we still have just 1 equation (NOT 2 different equations), so X can still be any value.
Combined, INSUFFICIENT

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Re: What is the value of x? (1) 5x + 3y = 15 (2) y = 5 – (5/3)x &nbs [#permalink] 21 Nov 2017, 14:37
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