Kyle started a new job part of the way through last month that pays $7 per hour. he began the month making $5 per hour at his old job. kyle worked a total of 54 hours last month and made $338 before deduction. how many hours did he work at his new job
let's call x = number of hours worked by Kyle in his old job. y = number of hours worked by Kyle in his new job. Writing the system of equations: x + y = 54 5x + 7y = 338 Solving the system of equations: 5 (54-y) + 7y = 338 270-5y + 7y = 338 2y = 338-270 y = 68/2 = 34 Therefore, Kyle worked 34 hours in his new job.