Question 1043571: Ref. 1043447:
I thought I understood the solution when posted. That is why I did not ask for follow-up assistance at that time. I apologize for offending by asking for further explanation.
Answer by josgarithmetic(39613)   (Show Source):
You can put this solution on YOUR website! ********************************************************************
Question 1043447: If a is added to the difference of 2 quantities, the sum is b, and if the larger is divided by the smaller, the quotient is c. Determine quantities.
Let x = larger
Let y = smaller
My attempt:
x - y + a = b
x / y = c
How do I proceed ?
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Two of us answered the question fully. Boreal gave full steps and some explanation, and he used pure text. I gave full steps in the type-set code tags for easier reading of the steps.
You did identify the variables, did create the system of equations according to problem's description, and what would come next is to solve for your identified unknown variables (being x and y). The numbers, a, b, and c, are not given and are still variables, but they would be treated as constants.
HOW WOULD YOU PROCEED?
You made the right system: 
Now you want to solve the system for x and y. More than one way. Probably Substitution will be the best method. Solve for one variable in terms of the other, and substitute into other an equation. Use the result to find the other variable.
To ask again, tell what do you not understand for which you still need an explanation?
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Let me begin to re-solve in a slightly different way.
Solve both equations first, for x.
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 ------x in terms of y
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 --------x in terms of y
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Call it substitution if you like, but equate the two expressions for x.
 -------Solution for y.
Now YOU do what you need to solve for x, for a formula which does not contain y.
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