SOLUTION: Ref. Question 1043454: Please list the operations you did after you substituted for y. I still don't understand. Sorry.

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Question 1043539: Ref. Question 1043454:
Please list the operations you did after you substituted for y. I still don't understand. Sorry.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
This was already done for you, response and solution from TWO tutors.
Same as question $1043447.

What do you not understand in this solution?
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.

and you want to solve for x and y.



-
substitute for x into the "b" equation and first solve for y.





You have either of two choices to solve for x. You could use now found y and substitute into either equation, or you could take the ratio equation from the description and solve it for y and then substitute into the "b" equation. I will do this second way.




-


--------the substitution for y




-----solved for x
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Ref. Question 1043454:
Please list the operations you did after you substituted for y. I still don't understand. Sorry.
You seem to want to use 2 equations to solve for x, in terms of 3 other variables. Why didn't you say so when question 1043447 was submitted? 



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 ? 



Apparently, you want to solve for x using the following equations: 

x - y + a = b______y = x + a - b ------ eq (i)



Since y = x + a - b, and , it follows that: 

cx + ac - bc = x ------- Multiplying by LCD, c

x - cx = ac - bc

x(1 - c) = ac - bc

 

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