Given that \(\frac{6x-y}{x+2y}=2\), find the value of \(\frac{x}{y}\)
Question 1 Report
Given that \(\frac{6x-y}{x+2y}=2\), find the value of \(\frac{x}{y}\)
Answer Details
We are given that:
\[\frac{6x-y}{x+2y}=2\]
To solve for \(\frac{x}{y}\), we can simplify the equation above and isolate \(\frac{x}{y}\).
We start by cross multiplying both sides of the equation:
\[6x-y=2(x+2y)\]
Expanding the brackets, we get:
\[6x-y=2x+4y\]
Simplifying and isolating \(x\), we get:
\[4x=5y\]
Therefore, \(\frac{x}{y}=\frac{5}{4}\).
Hence, the answer is \(\frac{5}{4}\).
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