Final answer:
The sentence "eleven less than twice a number is 9" can be expressed as the equation 2x - 11 = 9. Adding 11 to both sides and then dividing by 2, we find that the unknown number x is 10.
Step-by-step explanation:
The student is asking for an equation to represent the sentence "eleven less than twice a number is 9." To translate this into a mathematical equation, we first consider "twice a number," which is represented as 2x (since 'x' is the unknown number we're solving for). Then, we account for "eleven less than," which means we subtract 11 from 2x, resulting in 2x - 11. Finally, this expression is equal to 9, so the equation is 2x - 11 = 9.
To solve for x, follow these steps:
- Add 11 to both sides of the equation to isolate the term with the variable: 2x - 11 + 11 = 9 + 11, which simplifies to 2x = 20.
- Divide both sides of the equation by 2 to solve for x: 2x / 2 = 20 / 2, which gives x = 10.