SOLUTION: x-r-3/y-s-5 = r/s = 3/5. What is the value of x/y?

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Question 123467: x-r-3/y-s-5 = r/s = 3/5. What is the value of x/y?
Answer by jim_thompson5910(28598) About Me  (Show Source):
You can put this solution on YOUR website!
r%2Fs=3%2F5 Start with the second equation


5r=3s Cross multiply



%28x-r-3%29%2F%28y-s-5%29=r%2Fs Now move onto the first equation


%28x-r-3%29%2F%28y-s-5%29=+3%2F5 Replace r%2Fs with 3%2F5


5%28x-r-3%29=3%28y-s-5%29 Cross multiply


5x-5r-15=3y-3s-15 Disrtribute


5x-3s-15=3y-3s-15 Plug in 5r=3s


5x=3y-3s-15%2B3s%2B15 Add 3s to both sides. Add 15 to both sides.


5x=3y Combine like terms


5x%2Fy=3 Divide both sides by y


x%2Fy=3%2F5 Divide both sides by 3



Answer:


So x%2Fy=3%2F5