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If x+2y/2x-y=2, then x=
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22 Jul 2019, 02:35
22 Jul 2019, 02:35
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Question Stats:
84% (00:38) correct
15% (00:59) wrong based on 136 sessions
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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. \(3y\)
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Joined: 10 Apr 2015
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Re: If x+2y/2x-y=2, then x=
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27 Jul 2019, 06:43
27 Jul 2019, 06:43
2
Carcass wrote:
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. \(3y\)
GIVEN: \(\frac{x+2y}{2x-y}=2\)
Multiply both sides by \(2x-y\) to get: \(x+2y = 2(2x-y)\)
Expand to get: \(x+2y = 4x-2y\)
Subtract \(x\) from both sides to get: \(2y = 3x-2y\)
Add \(2y\) to both sides to get: \(4y = 3x\)
Divide both sides by \(3\) to get: \(\frac{4y}{3} = x\)
Answer: D
Cheers,
Brent
If x+2y/2x-y=2, then x=
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15 Jan 2024, 02:00
15 Jan 2024, 02:00
1
\(\text{ If } \frac{x+2y}{2x-y} = 2, \text{ then } x=?\)
\(\frac{x+2y}{2x-y} = 2\)
\(x+2y=2(2x-y)\)
\(x+2y=4x-2y\)
\(x-4x+2y+y+2y=0\)
\(-3x+4y=0\)
\(-3x=-4y\)
\(x=\frac{-4y}{-3}\)
\(x=\frac{4y}{3}\)
Answer is Choice D.
\(\frac{x+2y}{2x-y} = 2\)
\(x+2y=2(2x-y)\)
\(x+2y=4x-2y\)
\(x-4x+2y+y+2y=0\)
\(-3x+4y=0\)
\(-3x=-4y\)
\(x=\frac{-4y}{-3}\)
\(x=\frac{4y}{3}\)
Answer is Choice D.
