Question

If 2x+y/y = 2, what is the value of x/y

Answer 1

x/y = 1/2

Explanation:

2x + y / y = 2

2x + y = 2y

2x = 2y - y

2x = y

x = y/2

x/y = 1/2

Answer 2

`(x)/(y)` =
`(1)/(2)`

Explanation:

given

`(2x+y)/(y)` = 2 ( multiply both sides by y to clear the fraction )

y ×
`(2x+y)/(y)` = 2y ( simplify )

2x + y = 2y ( subtract y from both sides )

2x + y - y = 2y - y ( simplify )

2x = y ( divide both sides by y )

2 ×
`(x)/(y)` =
`(y)/(y)` , that is

2
`(x)/(y)` = 1 ( divide both sides by 2 )

`(x)/(y)` =
`(1)/(2)`