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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
72% (00:58) correct
28%
(00:46)
wrong
based on 172
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of x ?
(1) 6x + 4y = 30
(2) x = -(2/3)y + 5
Source: Veritas Prep, Book 08
Chapter: 4
Topic: Data Sufficiency
Question: 11
Question: Page 84
Solution: Page 86
(1) 6x + 4y = 30
(2) x = -(2/3)y + 5
Source: Veritas Prep, Book 08
Chapter: 4
Topic: Data Sufficiency
Question: 11
Question: Page 84
Solution: Page 86
My Solution:
Statement 1: x = (30-4y)/6
Different values of y give different values of x. Hence Not Sufficient. Answer Choice A and D are eliminated.
Statement 2: x = -(2/3)y+5
Different values of y give different values of x. Hence Not Sufficient. Answer Choice B is eliminated.
Answer Choice C and E remain.
Statement 1 and 2 together.
Together 1 and 2 are sufficient as the value of 4 from statement 1 can be substituted in statement 2. This will provide the value of x. Hence select the answer choice C. However the correct Answer is E.
Can someone please explain why "E" is correct and Not Answer Choice "C" ?
Statement 1: x = (30-4y)/6
Different values of y give different values of x. Hence Not Sufficient. Answer Choice A and D are eliminated.
Statement 2: x = -(2/3)y+5
Different values of y give different values of x. Hence Not Sufficient. Answer Choice B is eliminated.
Answer Choice C and E remain.
Statement 1 and 2 together.
Together 1 and 2 are sufficient as the value of 4 from statement 1 can be substituted in statement 2. This will provide the value of x. Hence select the answer choice C. However the correct Answer is E.
Can someone please explain why "E" is correct and Not Answer Choice "C" ?
15 Jul 2013, 09:40
Kudos
Bookmarks
hb
You could simply check your theory by actually solving the way you propose and you would see why E is the answer and not C.
What is the value of x ?
(1) 6x + 4y = 30. On equation two unknowns. Not sufficient.
(2) x = -(2/3)y + 5. On equation two unknowns. Not sufficient.
Notice though that x = -(2/3)y + 5 is the same as 3x = -2y + 15 --> 3x + 2y = 15 --> 6x + 4y = 30. The same equation we had in (1)
(1)+(2) We still have only one equation with two unknowns. Not sufficient.
Answer: E.
Hope it's clear.
P.S. Please read carefully and follow: new-to-the-math-forum-please-read-this-first-140445.html Pay attention to the rule #3. Also, please hide OA under the spoiler. Thank you.
15 Jul 2013, 10:01
Kudos
Bookmarks
Bunuel
Thank You for the explanation. I did not completely solve the problem after substituting the statement 1 in 2. I made an assumption that it will provide one value. Where just rearranging the statement 2 provided the answer. I think you meant the post provided at rules-for-posting-please-read-this-before-posting-133935.html and not new-to-the-math-forum-please-read-this-first-140445.html.
Is there a post on how to use the M, Fraction, Square Root, Align etc ?
