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?

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) (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
--------------------
-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
RELATED QUESTIONS
the cost of 3 markers and 2 pencils is 1.80. the cost of 4 markers and 6 pencils is 2.90. (answered by nerdybill)

The cost of 3 markers and 2 pencils is $1.80. The cost of 4 markers and 6 pencils is... (answered by josgarithmetic)

Hi Bob spent 50 dollars on pens and markers. The ratio of money spent on pens pencils... (answered by math_tutor2020,MathTherapy,ikleyn)

Mrs. Allan is ging to buy markers and crayons for 17 students in her kindergarten class.... (answered by checkley77)

pencils at the school bookstore cost 8 cents each. stacy buys 3 pencils and her brother... (answered by bonster)

Three�of�Carlos��and�Amy's�friends�are�purchasing�school�supplies�at�the�bookstore.Stan�bu (answered by rothauserc)

the cost of a dozen pencils and 6 pens is 3.34. If 3 pencils cost 0.10, then what is the... (answered by 55305)

4 pencils and 2 pens cost $1.08 6 pencils and 5 pens cost $2.22 find the cost of each... (answered by tran3209,kevwill)