Answer:
x : y = 9 : 13
Step-by-step explanation:
Given that
3x - y : x + 2y = 2 : 5
Express the ratio in fractional form, that is
[tex]\frac{3x-y}{x+2y}[/tex] = [tex]\frac{2}{5}[/tex] ( cross- multiply )
5(3x - y) = 2(x + 2y) ← distribute parenthesis on both sides )
15x - 5y = 2x + 4y ( subtract 2x from both sides )
13x - 5y = 4y ( add 5y to both sides )
13x = 9y ( divide both sides by 13 )
x = [tex]\frac{9}{13}[/tex] y ( divide both sides by y )
[tex]\frac{x}{y}[/tex] = [tex]\frac{9}{13}[/tex] , that is
x : y = 9 : 13
