Given that \(\frac{6x-y}{x+2y}=2\), find the value of \(\frac{x}{y}\)
MATHEMATICS
WAEC 1998
Given that \(\frac{6x-y}{x+2y}=2\), find the value of \(\frac{x}{y}\)
- A. \(\frac{3}{8}\)
- B. \(\frac{5}{8}\)
- C. \(\frac{4}{5}\)
- D. \(\frac{5}{4}\)
Correct Answer: D. \(\frac{5}{4}\)
Explanation
\(\frac{6x-y}{x+2y}=2\)
→ \((6x-y) = (x+2y)2\)
= 6x - y = 2x + 4y
Collect like terms: 6x - 2x = 4y + y
→ 4x = 5y
\(\frac{x}{y} = \frac{5}{4}\)
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