Simple Algebraic Problem (yet confusing 0_o)

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The discussion revolves around solving the algebraic equation x = (17/y) - 1 for the variable y. The correct solution involves rearranging the equation to y(x + 1) = 17, leading to the final expression y = 17 / (x + 1). Participants provided step-by-step guidance on factoring and moving terms to isolate y, clarifying common mistakes in the process.

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Homework Statement



x= (17/y) - 1

Solve for y.

Homework Equations

The Attempt at a Solution



This is part of a introductory calculus problem.

I've tried everything, I'm not sure what I am doing wrong.

x = (17/y ) - 1
y/1 (x) = ( (17/y) - 1 ) y/1

yx = 17 - y
-y ... -y
---------------
yx - y = 17

?
 
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When you tried this:

yx = 17 - y

You almost had it. Now move y to the other side so yx+y=17. Use what you know about factoring out common terms to solve that problem.
 
mharten1 said:
When you tried this:

yx = 17 - y

You almost had it. Now move y to the other side so yx+y=17. Use what you know about factoring out common terms to solve that problem.

yx + y = 17

y (x + 1 ) = 17 ---- divide by (x + 1 ) on both sides

y = 17 / (x+1)

... Thank you ! =D I've been trying to solve this very simple problem in an excess of at least 10 minutes. =/
 

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