Question
- 17 is the sum of a number
and 6 .
- 81 is three times a number.
- Eight less than a number is 19 .
and 6 .
Ask by Washington Cox. in the United States
Mar 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
- The number is 11.
- The number is 27.
- The number is 27.
Solution
11. 17 is the sum of a number and 6
Let
Subtracting 6 from both sides gives:
13. 81 is three times a number
Let
Dividing both sides by 3, we get:
15. Eight less than a number is 19
Let
Adding 8 to both sides, we obtain:
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Simplify this solution The Deep Dive
Did you know that the process of solving equations like the ones you’ve listed has been around for centuries? Ancient Babylonian mathematicians used geometric methods to solve linear equations long before modern algebra emerged. They utilized clay tablets to record their calculations, making them the pioneers of what’s a staple in math classes today!
Understanding how to translate word problems into equations can save you a lot of headaches! A common mistake is misinterpreting phrases; for example, “eight less than a number” can trip you up if you forget that it means you should use subtraction! Keep an eye out for these phrases—it can make all the difference in solving your problems accurately.
