Benecio worked 40 hours at his two jobs last week. he earned $20 per hour at his weekday job and $18 per hour at his weekend job. he earned $770 in all. how many hours did he work at each job?

Set up the following equations:




x is the amount of hours worked on the weekday job, and y is the amount of hours worked on the weekend job.

We'll use substitution to remove one of the variables.

Multiply the first equation by -18 to get opposite coefficients for y:




Combine these two equations together:



Divide both sides by 2 to get x by itself:



Plug in x to the first original equation:



Subtract 25 from both sides to get y by itself:



He worked 25 hours at his weekday job, and 15 hours at his weekend job.