SOLUTION: In a fraction if the numerator is increased by 5, and the denominator is decreased by 3,the result is 1/4. But if the numerator is decreased by 22/5, and the denominator is triple

Algebra ->  Graphs -> SOLUTION: In a fraction if the numerator is increased by 5, and the denominator is decreased by 3,the result is 1/4. But if the numerator is decreased by 22/5, and the denominator is triple      Log On


   

Question 879742: In a fraction if the numerator is increased by 5, and the denominator is decreased by 3,the result is 1/4. But if the numerator is decreased by 22/5, and the denominator is tripled, the result is -2/5. How do I find x/y?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
In a fraction if the numerator is increased by 5, and the denominator is decreased by 3,the result is 1/4. But if the numerator is decreased by 22/5, and the denominator is tripled, the result is -2/5. How do I find x/y?
***
let x=numerator
let y=denominator
..
%28x%2B5%29%2F%28y-3%29=1%2F4
%28x-%2822%2F5%29%29%2F%283y%29=-2%2F5
..
4x+20=y-3
5x-22=-6y
..
4x+23=y
5x-22=-6y
..
24x+138=6y
5x-22=-6y
add
29x+116=0
29x=-116
x=-4
y=4x+23=-16+23=7
x/y=-4/7
...
check:
(-4+5)/(7-3)=1/4
(-42/5))/(21)=-2/5