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Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
4(2x - 1.5y) - 3(1.5x - 2y) = -4.235
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26 Oct 2021, 11:31
26 Oct 2021, 11:31
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Question Stats:
53% (00:54) correct
46% (01:21) wrong based on 13 sessions
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4(2x - 1.5y) - 3(1.5x - 2y) = -4.235
A) The quantity in Column A is greater.
B) The quantity in Column B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
x |
0 |
A) The quantity in Column A is greater.
B) The quantity in Column B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 4(2x - 1.5y) - 3(1.5x - 2y) = -4.235
[#permalink]
27 Oct 2021, 05:39
27 Oct 2021, 05:39
2
GreenlightTestPrep wrote:
4(2x - 1.5y) - 3(1.5x - 2y) = -4.235
A) The quantity in Column A is greater.
B) The quantity in Column B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
x |
0 |
A) The quantity in Column A is greater.
B) The quantity in Column B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
I created this question to highlight a common misconception about linear equations.
Many students will look at the equation, 4(2x - 1.5y) - 3(1.5x - 2y) = -4.235, and conclude that, since the equation has two variables, there's no way to determine the value of x.
However, if you simplify the equation, you'll find that there's only one variable.
Given: 4(2x - 1.5y) - 3(1.5x - 2y) = -4.235
Expand to get: 8x - 6y - 4.5x + 6y = -4.235
Simplify: 3.5x = -4.235
Solve: x = -4.235/3.5
Since we're dividing a negative number by a positive number, we know that x must be negative
Answer: B
gmatclubot
Re: 4(2x - 1.5y) - 3(1.5x - 2y) = -4.235 [#permalink]
27 Oct 2021, 05:39
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