SOLUTION: Given that x is not equal to 0, y is not equal to 0, and 4x+2y/3y-2x=10/3, find the ratio of x to y. Express your answer in the form a/b where a and b are integers and have no comm

Algebra ->  Equations -> SOLUTION: Given that x is not equal to 0, y is not equal to 0, and 4x+2y/3y-2x=10/3, find the ratio of x to y. Express your answer in the form a/b where a and b are integers and have no comm      Log On


   

Question 945629: Given that x is not equal to 0, y is not equal to 0, and 4x+2y/3y-2x=10/3, find the ratio of x to y. Express your answer in the form a/b where a and b are integers and have no common factors. Thanks for your help.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Given that x is not equal to 0, y is not equal to 0, and 4x+2y/3y-2x=10/3, find the ratio of x to y. Express your answer in the form a/b where a and b are integers and have no common factors.
:
%28%284x%2B2y%29%29%2F%28%283y-2x%29%29 = 10%2F3
cross multiply
3(4x+2y) = 10(3y-2x)
12x + 6y = 30y - 20x
12x + 20x = 30y - 6y
32x = 24y
Divide both sides by 8
4x = 3y
x%2Fy = 3%2F4