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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. \(\frac{5}{4}\)
  • E. \(\frac{8}{5}\)
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Correct Answer: Option D
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

 \(\frac{x}{y} =  \frac{4}{5}\)

Next
Go back to Maths classroom

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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995