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