Question

Can someone assist me with this?


`(8)/(3x - y) = (5)/(x + 3y \:)`
Find the ratio of x to y.​

Answer 1

29: 7

Explanation:

`(8)/(3x - y) = (5)/(x + 3y)`

Cross multiply:

`8(x + 3y) = 5(3x - y)`

Expand bracket:

`8x + 24y = 15x - 5y`

Bring x terms to 1 side, y terms to the other:

`15x - 8x = 24y + 5y`

Simplify:

`7x = 29y`

Divide by 7 on both sides:

`x = (29)/(7) y`

Divide both sides by y:

`(x)/(y) = (29)/(7)`

∴ The ratio of x to y is 29:7.