## At an office supply store, Samantha bought 5 notebooks and 2 pens for $9. Jeffrey bought 3 notebooks and 2 pens for $6. Find the price of a

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## Answers ( )

The price of a notebook is $1.5 and the price of the pen is $0.75Step-by-step explanation:Samantha bought :The number of notebooks she bought = 5

The number of pens she bought = 2

The total cost of the items = $9.

Jeffrey bought :The number of notebooks he bought = 3

The number of pens he bought = 2

The total cost of the items = $6.

To find the price of a notebook and a pen :Let us assume,

The equation is formed as,

5x+2y = 9 ——–(1)3x+2y = 6 ——–(2)Subtract eq(2) from eq(1),5x+2y = 9

-(

3x+2y = 6)2x = 3x = 3/2

x = $1.5The price of a notebook is $1.5Substitute x=1.5 in eq(2),3(1.5)+2y = 6

4.5 + 2y = 6

2y = 6-4.5

2y= 1.5

y = 1.5 / 2

y = $0.75The price of the pen is $0.75