SOLUTION: Okay...John Dashwood recieved a 75cent/h raise for his part ime job. He can now eard his former weekly salary of $63 working 2 h less. How many hrs. a week did he work before he r

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Okay...John Dashwood recieved a 75cent/h raise for his part ime job. He can now eard his former weekly salary of $63 working 2 h less. How many hrs. a week did he work before he r      Log On


   

Question 121895This question is from textbook
: Okay...John Dashwood recieved a 75cent/h raise for his part ime job. He can now eard his former weekly salary of $63 working 2 h less. How many hrs. a week did he work before he recieved his raise?
 This question is from textbook

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x="old hours" and y="old pay rate" __ xy=63 __ y=63/x

with raise __ (x-2)(y+.75)=63

substituting for y __ (x-2)((63/x)+.75)=63 __ 63+.75x-(126/x)-1.5=63

multiplying by x __ 63x+.75x^2-126-1.5x=63x __ .75x^2-1.5x-126=0

multiplying by 4/3 __ x^2-2x-168=0

factoring __ (x-14)(x+12)=0