SOLUTION: the cost of 3 markers and 2 pencils is $1.80. the cost of 4 markers and 6 pencils is $2.90. what is the cost of each item?

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Question 195865: the cost of 3 markers and 2 pencils is $1.80. the cost of 4 markers and 6 pencils is $2.90. what is the cost of each item?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
3M+2P=1.80 MULTIPLY THIS EQUATION BY -3 & ADD.
4M+6P=2.90
-9M-6P=-5.40
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-5M=-2.5
M=-2.5/-5
M=.5 ANS. FOR THE PRICE OF ONE MARKER.
4*.5+6P=2.90
2+6P=2.90
6P=2.9-2
P=.9
P=.9/6
P=.15 ANS. FOR THE PRICE OF EACH PENCIL.
pROOF:
3*.5+2*.15=1.80
1.50+.30=1.80
1.80=1.80