<PRE><B>Question 945629</B>
 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.
:
{{{((4x+2y))/((3y-2x))}}} = {{{10/3}}}
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/y}}} =  {{{3/4}}}
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