Question 139291
3 days is long enough...


let x="overtime rate" and let y="regular rate"


"she earned $390 for working 47 hours of which 7 hours were overtime" __ 7x+40y=390
__ subtracting 7x __ 40y=390-7x __ dividing by 40 __ y=(390-7x)/40


"she earn $416 for working 50 hours of which 8 hours were obertime" __ 8x+42y=416


substituting __ 8x+42[(390-7x)/40]=416 __ multiplying by 40 __ 320x+16380-294x=16640


subtracting 16380 __ 26x=260 __ dividing by 26 __ x=10