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Given 3x + 4y = 18, what is x? (1) 5x + 2y = 16 (2) 3/2*x = 9 – 2y
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15 Sep 2019, 21:12
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68% (01:01) correct 32% (00:52) wrong based on 62 sessions
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Competition Mode Question Given \(3x + 4y = 18\), what is x? (1) \(5x + 2y = 16\) (2) \(\frac{3}{2}*x = 9 – 2y\)
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Re: Given 3x + 4y = 18, what is x? (1) 5x + 2y = 16 (2) 3/2*x = 9 – 2y
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15 Sep 2019, 21:29
Given Eq(1) \(3x+4y=18\), Q.what is x?
(1) \(5x+2y=16\) Multiplying both sides by 2, we get \(10x+4y=32\) > \(4y=3210x\). Substituting 4y in Eq(1), \(3x+(3210x)=18\) > \(x=2.\) SUFFICIENT
(2) \((3x)/2=9–2y\) Multiplying both sides by 2, we get \(3x=184y\) > \(3x+4y=18\), which is identical with Eq(1). Thus, we cannot determine value of \(x\). NOT SUFFICIENT
Final answer is (A)



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Re: Given 3x + 4y = 18, what is x? (1) 5x + 2y = 16 (2) 3/2*x = 9 – 2y
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15 Sep 2019, 21:44
Given 3x+4y=18, we are to find x.
From 1, we know 5x+2y=16 ......(2) (2)*2 yields 10x+4y=32 .....(3) (3)(1) yields 7x=14 hence x=2. Sufficient.
From 2, 1.5x+2y=9 .....(4) (4)*2 yields 3x+4y=18 ......(5) We can see that information provided by statement 2 is the same as the the one provided in the question stem. Hence 2 is not sufficient.
The answer is A in my opinion.
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Re: Given 3x + 4y = 18, what is x? (1) 5x + 2y = 16 (2) 3/2*x = 9 – 2y
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Updated on: 16 Sep 2019, 21:29
Given 3x+4y=18, what is x? (1) 5x+2y=16 Two equation, two variable. Can calculate x and y. Hence sufficient. (2) 3/2∗x=9–2y After expansion, you get 3x+4y=18, which is the question itself. INSUFFICIENT! IMO answer is option A P.S: in such questions, you know it is possible to answer the question, so no need to answer waste time finding the answer since t is a DS question.
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Originally posted by EncounterGMAT on 15 Sep 2019, 21:49.
Last edited by EncounterGMAT on 16 Sep 2019, 21:29, edited 1 time in total.



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Re: Given 3x + 4y = 18, what is x? (1) 5x + 2y = 16 (2) 3/2*x = 9 – 2y
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15 Sep 2019, 23:18
Given 3x + 4y = 18 what is x?
STATEMENT (1)5x + 2y = 16 and 3x + 4y = 18
solving both equation we get x = 2
SUFFICIENT
STATEMENT (2)\(\frac{3}{2}\)*x = 9  2y
rearranging the above equation we get 3x = 18  4y 3x+4y = 18 (same as given) we need one more equation to solve for x so INSUFFICIENT
A is the correct answer



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Re: Given 3x + 4y = 18, what is x? (1) 5x + 2y = 16 (2) 3/2*x = 9 – 2y
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Updated on: 16 Sep 2019, 21:25
equate given eqn to y=(165x)/2 so #1 y=165x/2 solve for x we get x=2 sufficient #2 equate given eqn we get ; 183x/4=y solve for x not one value Insufficient IMO A
Given 3x+4y=18, what is x?
(1) 5x+2y=16
(2) 3∗x/2=9–2y
Originally posted by Archit3110 on 16 Sep 2019, 01:07.
Last edited by Archit3110 on 16 Sep 2019, 21:25, edited 1 time in total.



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Re: Given 3x + 4y = 18, what is x? (1) 5x + 2y = 16 (2) 3/2*x = 9 – 2y
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16 Sep 2019, 01:20
Each alone is sufficient. x=2



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Re: Given 3x + 4y = 18, what is x? (1) 5x + 2y = 16 (2) 3/2*x = 9 – 2y
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16 Sep 2019, 05:35
Quote: Given \(3x+4y=18\), what is x?
(1) \(5x+2y=16\) (2) \(3/2∗x=9–2y\) (1) \(5x+2y=16(3x+4y=18)…2x2y=2…xy=1…y=x+1…3x+4(x+1)=18…x=2\): sufic. (2) \(3/2∗x=9–2y…3x=184y…3x+4y=18\): same as given info, insufic. Answer (A)



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Re: Given 3x + 4y = 18, what is x? (1) 5x + 2y = 16 (2) 3/2*x = 9 – 2y
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16 Sep 2019, 06:02
Given \(3x + 4y = 18\), what is x? (1) \(5x + 2y = 16\) Two equations and two variables thus sufficient to find them. SUFFICIENT. (2) \(\frac{3}{2}*x = 9 – 2y\) \(3x = 18 – 4y\) So same equation as given thus not enough information to solve for variables. INSUFFICIENT. Answer (A).
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Re: Given 3x + 4y = 18, what is x? (1) 5x + 2y = 16 (2) 3/2*x = 9 – 2y
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16 Sep 2019, 08:51
I think statement 1 alone is sufficient as we will then have two equations for two variables. Statement 2 does not give us any new information. Given 3x+4y=18, what is x? (1) 5x+2y=16
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Re: Given 3x + 4y = 18, what is x? (1) 5x + 2y = 16 (2) 3/2*x = 9 – 2y
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16 Sep 2019, 08:51






