Question

Use the variable x for the unknown, & write an equation representing the verbal sentence. Then solve the problem. -When 3 times a number is subtracted from 7 times the number, the result is 44.

Answer 1

3 times a number (taking x as the number) is represented as 3x.

7 times a number is represented as 7x.

If 3 times a number, 3x, is substracted from 7 times a number, 7x, the result is 44. That is represented as:

`7x-3x=44`

Solve the equation for x to find that number:

`\begin{gathered} 7x-3x=44 \\ 4x=44 \\ x=(44)/(4) \\ x=11 \end{gathered}`

The number is 11.