Question

Given that
`(4x-y)/(3y) = (1)/(2)` , find the value of
`(x)/(y)`

Answer 1

`(x)/(y)` =
`(5)/(8)`

Explanation:

Given

`(4x-y)/(3y)` =
`(1)/(2)` ( cross- multiply )

2(4x - y) = 3y ← distribute left side

8x - 2y = 3y ( add 2y to both sides )

8x = 5y ( divide both sides by 8 )

x =
`(5)/(8)` y ( divide both sides by y )

`(x)/(y)` =
`(5)/(8)`