SOLUTION: Please help me solve this problem!

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Question 108271: Please help me solve this problem!
Answer by Annabelle1(69)   (Show Source): You can put this solution on YOUR website!
Kevin works 3 times as many hours in a week as Karen does. If each were to work 6 h more per week, Kevin would be working twice as many hours as Karen does. How many hours does each work now?
Kevin works x hours
karen works y hours
x=3y
x+6=2(y+6)

x-3y=0
x+6=2y+12
x-2y=6
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving -3*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=6. Since , x=18.

Answer: .


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