SOLUTION: If the numerator of a fraction is decreased by 1 its values become 2/3, but if the denominator is increased by 5 its values become 1/2, what is the fraction

Question 1033107: If the numerator of a fraction is decreased by 1 its values become 2/3, but if the denominator is increased by 5 its values become 1/2, what is the fraction
Found 2 solutions by robertb, josgarithmetic:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let the fraction be x/y.
The first part of the problem says that , while the second part says that .
The second equation is equivalent to .
Upon substitution into the first equation, we get
<==>
==>
==>
==> y = 9.
==> x = 7.
==> the fraction is 7/9.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!

The system appears like rational equations but .....

, with a little help from Multiplication Property of Equality. How to go further is up to you.

Multiplying second equation by gives allowing now easy use of Elimination Method (setup now for it).

----------You finish this...
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