SOLUTION: The denominator of a certain fraction is th ree times the numerator. If 2 is added to the numerator and subtracted from the denominator, the result equals 3/5. Find the original f

Question 675040: The denominator of a certain fraction is th
ree times the numerator. If 2 is added to the numerator and subtracted from the denominator, the result equals 3/5. Find the original fraction
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
x = denominator
y = numerator
...
x = 3y

...
Substitute x into the second equation

Cross Multiply
5(y+2) = 3(3y-2)
...
Distribute
5y + 10 = 9y - 6
...
Group like terms
5y - 9y = -6 - 10
-4y = -16
...
Divide both sides by -4

x = 3(4) =
...
Original fraction is
.....................
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