Question

What is the ratio of x to y?
2 x
---- = --------
3 3x+y

Answer 1

2/3 = x/3x + y
2(3x + y) = 3x
2(3x) + 2(y) = 3x
6x + 2y = 3x
- 6x - 6x
2y = -3x
2 2
y = -1.5x

Answer 2

2/3 = x/(3x + y)

Cross multiply:

3x = 2(3x + y)

Distribute 2:

3x = 6x + 2y

Subtract 6x to both sides:

-3x = 2y

Divide 'y' to both sides:

-3x/y = 2

Divide -3 to both sides:

x/y = -2/3