SOLUTION: four pencils and 2 pens cost $2.26. six pencils and five pens cost $5.17. find the cost of the pencil. find the cost of the pen

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Question 130412: four pencils and 2 pens cost $2.26. six pencils and five pens cost $5.17. find the cost of the pencil. find the cost of the pen
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
4X+2Y=2.26
6X+5Y=5.17
NOW MULTIPLY THE FIRST EQUATON BY -3 & THE SECOND EQUATIOB BY 2 & ADD.
-12X-6Y=-6.78
12X+10Y=10.34
----------------------------------
4Y=3.56
Y=3.56/4
Y=.89 COST OF 1 PEN.
4X+2*.89=2.26
4X+1.78=2.26
4X=2.26-1.78
4X=.48
X=.48/4
X=.12 COST OF 1 PENCIL.
PROOF:
6*.12 +5*.89=5.17
.72+4.45=5.17
5.17=5.17