SOLUTION: A pencil and pen together cost $310. The pencil cost $10 more than 9 times the pen. What does each cost?

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Question 585455: A pencil and pen together cost $310. The pencil cost $10 more than 9 times the pen. What does each cost?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=310
X=9Y+10
(9Y+10)+Y=310
10Y=310-10
10Y=300
Y=300/10
Y=30 ANS. FOR THE PENCIL
X+30=310
X=310-30
X=280 ANS. FOR THE PEN.
PROOF:
280=9*30+10
280=270+10
280=280