SOLUTION: use the 4 step method and 2 variables If 10 pens and 15 pads of paper cost $26, and 5 pens and 10 pads cost $16, find the cost of a pen and a pad. x=pen y=pad 10x + 15y =$26

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Question 1023068: use the 4 step method and 2 variables
If 10 pens and 15 pads of paper cost $26, and 5 pens and 10 pads cost $16, find the cost of a pen and a pad.
x=pen y=pad
10x + 15y =$26
5x + 10y =$16
-2(5x+10y=16)
-10x+-20y=-32
10x+15y=26
-10x+-20y=-32
-5y=-6
-5y=-5
y=6/5
5x+10(6/5)=16 5goes into 10 2times
5x+2*6=16
5x+12=16
5x-12=-12
5x=4
5 5
x=4/5
I come up with fractions this does not seem right.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x, price for one pen
y, price for one pad

system%2810x%2B15y=26%2C5x%2B10y=16%29-----same as the system you found.

Your work appears to be the use of Elimination Method, at least part of the way. Multiply the 16 equation by 2:
system%2810x%2B15y=26%2C10x%2B20y=32%29----the equivalent system.

Add the opposite of the 26 equation to the 32 equation.
-%2810x%2B15y%29%2B%2810x%2B20y%29=-26%2B32
5y=6
highlight%28y=6%2F5%29, which means y=1%261%2F5, or $1 20cents for one pad of paper.


Now what is x?
Go to either of the ORIGINAL equations to find x. Now you know y.
10x%2B15y=26
10x=26-15y
10x=26-15%286%2F5%29
10x=26-3%2A6
10x=26-18
10x=8
5x=4
highlight%28x=4%2F5%29--------which means 80 cents for a pencil.