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3x-4y=-12 and 6x+2y=36
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11 Jan 2024, 16:39
11 Jan 2024, 16:39
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Question Stats:
71% (01:30) correct
28% (01:50) wrong based on 14 sessions
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\(3x-4y=-12\) and \(6x+2y=36\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(x\) |
\(y\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
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Re: 3x-4y=-12 and 6x+2y=36
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12 Jan 2024, 11:55
12 Jan 2024, 11:55
1
\(3x - 4y = -12\) <--- Start with the 1st equation
\(+2(6x + 2y = 36) \) <--- Add 2x the 2nd equation to eliminate the -4y in the 1st equation
\(3x + 12x - 4y + 4y = -12 + 72\)
\(15x = 60\)
\(x = 4\)
Plug x = 4 back into either of the equations to find y.
\(6(4) + 2y = 36\)
\(2y = 12\)
\(y = 6\)
Since 6 > 4, Quantity B is greater.
\(+2(6x + 2y = 36) \) <--- Add 2x the 2nd equation to eliminate the -4y in the 1st equation
\(3x + 12x - 4y + 4y = -12 + 72\)
\(15x = 60\)
\(x = 4\)
Plug x = 4 back into either of the equations to find y.
\(6(4) + 2y = 36\)
\(2y = 12\)
\(y = 6\)
Since 6 > 4, Quantity B is greater.
gmatclubot
Re: 3x-4y=-12 and 6x+2y=36 [#permalink]
12 Jan 2024, 11:55
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