SOLUTION: half of a number is seven more than twelve times the number. What is the number?

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Question 371085: half of a number is seven more than twelve times the number. What is the number?
Answer by jvan(28) About Me  (Show Source):
You can put this solution on YOUR website!
First you should write an equation. Let n= the number. The equation will look like: 1%2F2%2An+=+12n%2B7. You can think of the "is" in the problem as meaning "equals". Then you need to solve for n. Subtract 12n from both sides of the equation to get -11+1%2F2%2A+n+=7. This also can be written as -23%2F2%2An+=+7. Multiply both sides by -2/23 (the reciprocal) to get n by itself: n+=+-14%2F23. Our number is -14/23. =] I hope this helps! Please visit and join my website at www.myonlinetutor.webs.com for solutions.