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If = 7/x + 2/y = 7 and xy = 4, then 7y + 2x =? A. 28 B. 14 C. 7/4 D. 4
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23 Aug 2022, 04:17
23 Aug 2022, 04:17
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If \(= \frac{7}{x} + \frac{2}{y} = 7\) and \(xy = 4\), then \(7y + 2x =?\)
A. 28
B. 14
C. \(\frac{7}{4}\)
D. \(\frac{4}{7}\)
E. \(\frac{2}{7}\)
A. 28
B. 14
C. \(\frac{7}{4}\)
D. \(\frac{4}{7}\)
E. \(\frac{2}{7}\)
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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Re: If = 7/x + 2/y = 7 and xy = 4, then 7y + 2x =? A. 28 B. 14 C. 7/4 D. 4
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23 Aug 2022, 06:28
23 Aug 2022, 06:28
1
Carcass wrote:
If \(= \frac{7}{x} + \frac{2}{y} = 7\) and \(xy = 4\), then \(7y + 2x =?\)
A. 28
B. 14
C. \(\frac{7}{4}\)
D. \(\frac{4}{7}\)
E. \(\frac{2}{7}\)
A. 28
B. 14
C. \(\frac{7}{4}\)
D. \(\frac{4}{7}\)
E. \(\frac{2}{7}\)
Given: \(\frac{7}{x} + \frac{2}{y} = 7\)
Multiply both sides by x to get: \(7 + \frac{2x}{y} = 7x\)
Multiply both sides by y to get: \(7y + 2x = 7xy\)
Since we're told that xy = 4, we can take the above equation and replace xy with 4 to get: \(7y + 2x = 7(4)\)
Simplify: \(7y + 2x = 28\)
Answer: A
gmatclubot
Re: If = 7/x + 2/y = 7 and xy = 4, then 7y + 2x =? A. 28 B. 14 C. 7/4 D. 4 [#permalink]
23 Aug 2022, 06:28
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