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B
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Difficulty:
35%
(medium)
Question Stats:
61% (01:21) correct
39%
(01:50)
wrong
based on 236
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If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y?
(1) y = 3 and x = 2
(2) z = -x
(1) y = 3 and x = 2
(2) z = -x
Source: Manhattan Prep "Fractions, Decimals, Percents"
First they grouped all the "like" terns together and ended up with the equation z = x?
Answer: Only statement 2 is sufficient by itself. B
Why? I would have answered A because I plugged in the numbers given in statement 1 and solved for z. Then I came up with z = 2.
Then I plugged in the numbers for all 3 variables in the original equation (including z = 2) with the result of left side of equation = right side of equation so I can clearly answer the question with statement 1?
First they grouped all the "like" terns together and ended up with the equation z = x?
Answer: Only statement 2 is sufficient by itself. B
Why? I would have answered A because I plugged in the numbers given in statement 1 and solved for z. Then I came up with z = 2.
Then I plugged in the numbers for all 3 variables in the original equation (including z = 2) with the result of left side of equation = right side of equation so I can clearly answer the question with statement 1?
13 May 2016, 07:09
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Silviax
Hi,
you have to find if \(\frac{3x}{2}+ y + 2z = \frac{7x}{2}+ y?\)...
But there are three variables and 'z' does not cancel out but remains till end..
so we cannot sove the equation.
we donot have to find z=2, we should be given z=2 for equation to be correct..
remember it is asking you IS A=B.. so you require both A and B
13 May 2016, 07:18
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Silviax
Notice that the question asks is 3x/2 + y + 2z = 7x/2 + y? Which can be simplified to is z = x? We are NOT given that z = x, we are asked to find whether it's true.
(1) says that x = 2. So the question becomes is x = 2. We don't know that, thus the statement is not sufficient.
(2) says that z = -x. Now, if z = -x, then z = x can only be true when z = x = 0. Since we are told that xyz ≠ 0, then none of the variables is 0, therefore we can say that z ≠ x. Sufficient.
Answer: B.
Hope it's clear.
