Equivalent Fractions: solve (5 + y) / (y - 3) = 14 / 10

tgunnarson said:
How do you solve this problem?
Hmm.... This topic was supposed to have been covered in class and in your textbook before homework was assigned on it. Since you are not familiar with how to work with this sort of equation, the first step will be for you to study some lessons. If your class only skipped how to solve proportions, try these lessons. If your class also skipped how to solve linear equations, try here.

Once you have studied at least two lessons from the appropriate link(s), please attempt the exercise. If you get stuck, you will then be able to reply with a clear listing of your work and reasoning so far. Thank you! :D

Eliz.
 
5+y = 14
y-3 10

First of all, it is better to write this problem as: (5 + y)/(y - 3) = 14/10.

There is a rule called Product of the Means Equals Product of the Extremes, or in more common parlance "cross-multiply." The product of (5 + y) and 10 equals the product of (y - 3) and 14.
10(5 + y) = 14(y - 3)
50 + 10y = 14y - 42
92 = 4y
23 = y
 
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