liz earns a weekly salary of $459 and $20 per hour for each over time hour she works. this week her total pay including salary and overtime was $559. write an equation.how many hours of overtime did liz work?

459 + 20x = 559

459+20x=559

5 hours

To find out how many hours of overtime Liz worked, we need to set up an equation.

Let's assume the number of overtime hours Liz worked is represented by "x".

Liz earns $459 as her weekly salary, and she earns an additional $20 per hour for each overtime hour she works.

So, the equation representing Liz's total pay, including salary and overtime, would be:

459 + 20x = 559

Explanation of the equation:
- 459 represents Liz's weekly salary.
- 20x represents the amount Liz earns for each overtime hour worked.
- 559 represents Liz's total pay including salary and overtime.

To find the value of "x" (the number of overtime hours), we can solve this equation.

459 + 20x = 559

First, we subtract 459 from both sides of the equation to isolate the term with "x":

20x = 559 - 459
20x = 100

Then, divide both sides of the equation by 20 to solve for "x":

x = 100 / 20
x = 5

Therefore, Liz worked 5 hours of overtime.