Question

If 4x-y/2x+y=5/3, then x/y=?

Answer 1

`\boxed{ (x)/(y) = 4}`

Explanation:

`if \: (4x-y)/(2x+y)=(5)/(3), \: then \: (x)/(y) = : \\ 3(4x - y) = 5(2x + y) \\ 12x - 3y = 10x + 5y \\ 2x = 8y \\ (2x)/(y) = 8 \\ (x)/(y) = 4`

Answer 2

`(x)/(y)` = 4

Explanation:

Expressing in fractional form, that is

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

3(4x - y) = 5(2x + y) ← distribute both sides

12x - 3y = 10x + 5y ( subtract 10x from both sides )

2x - 3y = 5y ( add 3y to both sides )

2x = 8y ( divide both sides by 2 )

x = 4y ( divide both sides by y )

`(x)/(y)` = 4