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04 Jun 2021, 05:15
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
88% (02:02) correct
12%
(02:48)
wrong
based on 195
sessions
History
Date
Time
Result
Not Attempted Yet
\(2x \neq y\)
\(5x \neq 4y\)
What is the value of \(\frac{\frac{5x-4y}{2x-y}}{\frac{3y}{y-2x} + 5}\) ?
A. \(\frac{1}{2}\)
B. \(\frac{3}{2}\)
C. \(\frac{5}{2}\)
D. \(\frac{7}{2}\)
E. \(\frac{9}{2}\)
\(5x \neq 4y\)
What is the value of \(\frac{\frac{5x-4y}{2x-y}}{\frac{3y}{y-2x} + 5}\) ?
A. \(\frac{1}{2}\)
B. \(\frac{3}{2}\)
C. \(\frac{5}{2}\)
D. \(\frac{7}{2}\)
E. \(\frac{9}{2}\)
04 Jun 2021, 06:15
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Bunuel
Key concept: It's important to recognize that the question is really asking us "What is the value of the expression for ALL values of x and y (except the exclusions noted)?"
So let's see what the expression evaluates to when x = 1 and y = 1..
\(\frac{\frac{5x-4y}{2x-y}}{\frac{3y}{y-2x} + 5}=\frac{\frac{5(1)-4(1)}{2(1)-(1)}}{\frac{3(1)}{(1)-2(1)} + 5}\)
\(=\frac{\frac{1}{1}}{\frac{3}{-1} + 5}\)
\(= \frac{1}{2}\)
Answer: A
General Discussion
04 Jun 2021, 07:21
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Given: \(2x \neq y\)
\(5x \neq 4y\)
Asked: What is the value of \(\frac{\frac{5x-4y}{2x-y}}{\frac{3y}{y-2x} + 5}\) ?
\(\frac{\frac{5x-4y}{2x-y}}{\frac{3y}{y-2x} + 5}\)
\(\frac{\frac{5x-4y}{2x-y}}{\frac{3y+5y - 10x}{y-2x}}\)
\(\frac{\frac{5x-4y}{2x-y}}{\frac{8y - 10x}{y-2x}}\)
\(\frac{5x-4y}{2x-y}*\frac{y-2x}{8y - 10x}\)
\(\frac{5x-4y}{2x-y}*\frac{2x-y}{10x-8y}\)
\(\frac{1}{2}\)
IMO A
\(5x \neq 4y\)
Asked: What is the value of \(\frac{\frac{5x-4y}{2x-y}}{\frac{3y}{y-2x} + 5}\) ?
\(\frac{\frac{5x-4y}{2x-y}}{\frac{3y}{y-2x} + 5}\)
\(\frac{\frac{5x-4y}{2x-y}}{\frac{3y+5y - 10x}{y-2x}}\)
\(\frac{\frac{5x-4y}{2x-y}}{\frac{8y - 10x}{y-2x}}\)
\(\frac{5x-4y}{2x-y}*\frac{y-2x}{8y - 10x}\)
\(\frac{5x-4y}{2x-y}*\frac{2x-y}{10x-8y}\)
\(\frac{1}{2}\)
IMO A
