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Algebra DS problem from BTG Practice Questions

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by Kevdog2834 » Tue Feb 22, 2011 3:42 pm
If 3w + 2y = x, then what is the value of y?

(1) 6w + 6 = 2x

(2) 9w = 3x - 9

--

This is probably a very simple question for many of you but it is a big reminder for me that will truly help many of us.

With this problem the x can be canceled out of the original equation so that y is easily found. What about if the equations does not remove the second variable?
Ex:
If 3w + 2y = x, then what is the value of y?

(1) 6w + 6 = 3x

(2) 9w = x - 9

From (1) or (2) here can we solve for x and then solve it for w too? Then plug both back into the original equation?
2w + 2 = x
w = 1/2x - 1

9w - 9 = x
w = 1/9x - 1
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by Night reader » Tue Feb 22, 2011 4:03 pm
three equations and three variables
actually you need to find y-? and y=(x-3w)/2
st(1) 6w+6=2x --> rewrite as 6=2x-6w OR 3=x-3w :) y=3/2 Sufficient;
st(2) 3x-9w=9 --> rewrite as 3=x-3w /repeat all steps as in st(1) / Sufficient

answer D
Kevdog2834 wrote:If 3w + 2y = x, then what is the value of y?

(1) 6w + 6 = 2x

(2) 9w = 3x - 9

--

This is probably a very simple question for many of you but it is a big reminder for me that will truly help many of us.

With this problem the x can be canceled out of the original equation so that y is easily found. What about if the equations does not remove the second variable?
Ex:
If 3w + 2y = x, then what is the value of y?

(1) 6w + 6 = 3x

(2) 9w = x - 9

From (1) or (2) here can we solve for x and then solve it for w too? Then plug both back into the original equation?
2w + 2 = x
w = 1/2x - 1

9w - 9 = x
w = 1/9x - 1
My knowledge frontiers came to evolve the GMATPill's methods - the credited study means to boost the Verbal competence. I really like their videos, especially for RC, CR and SC. You do check their study methods at https://www.gmatpill.com
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by Anurag@Gurome » Tue Feb 22, 2011 8:26 pm
(1) 6w + 6 = 2x gives 3w = x - 3
So, 3w + 2y = x implies x - 3 + 2y = x or y = 3/2.
So, (1) is SUFFICIENT.

(2) 9w = 3x - 9 gives 3w = x - 3
So, 3w + 2y = x implies x - 3 + 2y = x or y = 3/2.
So, (2) is SUFFICIENT.

The correct answer is D.
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