SOLUTION: w/2+7=w/3+9

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Question 215883: w/2+7=w/3+9
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
w%2F2%2B7=w%2F3%2B9

Step 1. Multiply 6 to both sides of the equation to get rid of denominators.

6%2A%28w%2F2%2B7%29=6%2A%28w%2F3%2B9%29

3w%2B42=2w%2B54

Step 2. Subtract 42 to both sides of the equation

3w%2B42-42=2w%2B54-42

3w=2w%2B12

Step 3. Subtract 2w to both sides of the equation

3w-2w=2w%2B8-2w

w=12

Check with original equation...w%2F2%2B7=w%2F3%2B9 then

12%2F2%2B7=12%2F3%2B9

6%2B7=4%2B9

13=13 which is a true statement

Step 4. ANSWER is w=12.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J