SOLUTION: This equation is not from a textbook, it's directly from my professor. I'm having difficulties trying to remember how to solve for 'x' in the following situation:
($80 + ($1,00
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Question 186822: This equation is not from a textbook, it's directly from my professor. I'm having difficulties trying to remember how to solve for 'x' in the following situation:
($80 + ($1,000 - X) / 12) / (($1,000 + X) / 2) = 0.07
If I divide by the denominator, I end up with Xs on both sides of the equation. Please help! Thank You!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.
Take note that the LCD of the inner fractions is 12.
Multiply EVERY term (that's either part of a fraction or by itself) by the LCD 12 to clear the inner fractions.
Note: because we're multiplying every term on the left side by the same number, it's like we're multiplying the left side by which is simply 1. So the equation has NOT changed.
Simplify
Multiply
Combine like terms.
Distribute
Multiply both sides by .
Distribute
Multiply
Multiply both sides by 100 to clear out the decimals.
Distribute and multiply.
Subtract from both sides.
Subtract from both sides.
Combine like terms on the left side.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
----------------------------------------------------------------------
Answer:
So the answer is which approximates to .
Note: since this problem looks like it deals with money, I would go with the approximated solution and round it to two places to get
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