You have two jobs. one job pays $8 per hour and the other pays $6 per hour. you worked 20 hours total last week and earned $136. how many hours did you work at each job?

Let x is total hours work on first job
y is total hours work on second job

x + y = 20 ; x = 20 - y
8x + 6y = 136

substitute x = 20 - y into 8x + 6y = 136

8x + 6y = 136
8(20 - y) + 6y = 136
160 - 8y + 6y = 136
-2y = -24
y = 12

x = 20 - y
x = 20 - 12
x = 8

 

The first job paid $8 per hour, last week you worked 8 hours
The second job paid $6 per hour, last week you worked 12 hours

Double check

x + y = 20
8 + 12 = 20
20 = 20


8x + 6y = 136
8(8) + 6(12) = 136
64 + 72 = 136
136 = 136