SOLUTION: I need help solving the following equation for Y: {{{A/(((A/Y)+C+(700000/Y)-115000)*Y)=A/CX}}}

Question 293351: I need help solving the following equation for Y:

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
Your equation is:

Multiply both sides of this equation by to get:

Multiply both sides of this equation by C*X and divide both sides of this equation by A to get:

Simplify by multiplying the right side of the equation by the factor of Y to remove the parentheses to get:

Subtract A and subtract 700000 from both sides of this equation to get:

Factor out the Y from the right side of the equation to get:

Divide both sides of this equation by (C-115000) to get:

This is the same as:

If we did this correctly, your original equation and your final equation should yield the same answer.

I tested by letting A = 5, C = 10, X = 15.

I plugged those values into the final equation as follows:

becomes:

which becomes:

which becomes:

which becomes:

Y = 6.086224889

I then plugged all these values into the original equation to see if it was true.

becomes:

which becomes:

.033333334 = .033333333 which is true confirming that the translation of the equation by solving for Y is good.

There's a slight error factor that's probably due to rounding.

I'd be surprised if it's anything other than that.

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