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25 Jul 2019, 23:36
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D
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:
95% (00:43) correct
5%
(02:36)
wrong
based on 56
sessions
History
Date
Time
Result
Not Attempted Yet
If \(\frac{x+2y}{2x-y}=2\), then \(x=\)
A. \(0\)
B. \(\frac{4y}{5}\)
C. \(y\)
D. \(\frac{4y}{3}\)
E. \(3y\)
A. \(0\)
B. \(\frac{4y}{5}\)
C. \(y\)
D. \(\frac{4y}{3}\)
E. \(3y\)
26 Jul 2019, 00:46
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Solution
Given:
- • \(\frac{x + 2y}{2x – y} = 2\)
To find:
- • The value of x
Approach and Working Out:
- • \(\frac{x + 2y}{2x – y} = 2\)
- o Implies, x + 2y = 2 * (2x – y)
o x + 2y = 4x – 2y
o 3x = 4y
• Therefore, \(x = \frac{4y}{3}\)
Hence, the correct answer is Option D.
Answer: D
26 Jul 2019, 00:57
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This is a simple question on linear equations. The required answer is x, but as you observe, the options are given in terms of y. So, we need to find out x in terms of y.
Cross multiplying the denominator on the LHS with the RHS, we have,
x + 2y = 4x – 2y.
Simplifying the equation above, we have 3x = 4y.
Therefore, x =\(\frac{4y}{3}\).
The correct answer option is D.
Simple questions like these on linear equations are excellent resources to build your basic concepts on solving expressions and equations. If this is an area you are facing trouble with, make sure to solve more questions of this level to build up a strong foundation.
Hope this helps!
Cross multiplying the denominator on the LHS with the RHS, we have,
x + 2y = 4x – 2y.
Simplifying the equation above, we have 3x = 4y.
Therefore, x =\(\frac{4y}{3}\).
The correct answer option is D.
Simple questions like these on linear equations are excellent resources to build your basic concepts on solving expressions and equations. If this is an area you are facing trouble with, make sure to solve more questions of this level to build up a strong foundation.
Hope this helps!
