Answer:
x : y = 2 : - 3
Step-by-step explanation:
given
[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{3x+y}[/tex] ( cross- multiply )
3x = 2(3x + y) ← distribute
3x = 6x + 2y ( subtract 6x from both sides )
- 3x = 2y ( divide both sides by y )
- 3[tex]\frac{x}{y}[/tex] = 2 ( divide both sides by - 3 )
[tex]\frac{x}{y}[/tex] = [tex]\frac{2}{-3}[/tex]
