Translate the following statement into an algebraic equation. Let x represent the number. 9 more than 10 times a number is 5 times that same number.
To translate the given statement into an algebraic equation, we can break it down into smaller parts. Here's how we can do it:
1. Let x represent the number.
2. "10 times a number" can be represented as 10x.
3. "9 more than 10 times a number" can be written as 10x + 9.
4. "5 times that same number" can be written as 5x.
Now, combining these parts, the statement "9 more than 10 times a number is 5 times that same number" can be translated into the following algebraic equation:
10x + 9 = 5x
This equation represents the relationship described in the given statement, where 9 more than 10 times a number is equal to 5 times that same number.