Respuesta :

Answer:

x : y = 5 : 2

Step-by-step explanation:

Given

[tex]\frac{x+3y}{5x+4y}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )

5x + 4y = 3(x + 3y)

5x + 4y = 3x + 9y ( subtract 3x from both sides )

2x + 4y = 9y ( subtract 4y from both sides )

2x = 5y ( divide both sides by 2 )

x = [tex]\frac{5}{2}[/tex] y ( divide both sides by y )

[tex]\frac{x}{y}[/tex] = [tex]\frac{5}{2}[/tex] , that is

x : y = 5 : 2

Answer:

x/y = 5/2

Step-by-step explanation:

hello :

(x+3y) /( 5x+4y)= 1/3 means : 5x+4y = 3(x+3y)

5x+4y = 3x+9y

5x-3x = 9y - 4y

2x = 5y

now divid by y : 2x/y = 5y/y

2x/y = 5 so : x/y = 5/2