Question

Given that 8x+9y=12y-3x find the numerical ratio of x:y

Answer 1

x : y = 3 : 11

Explanation:

given

8x + 9y = 12y - 3x

collect x- terms on the left and y - terms on the right

add 3x to both sides

8x + 3x + 9y = 12y - 3x + 3x ( simplify both sides )

11x + 9y = 12y ( subtract 9y from both sides )

11x + 9y - 9y = 12y - 9y ( simplify both sides )

11x = 3y ( divide both sides by y )

11
`(x)/(y)` = 3
`(y)/(y)` , that is

11
`(x)/(y)` = 3 ( divide both sides by 11 )

`(x)/(y)` =
`(3)/(11)`

in ratio form x : y = 3 : 11