The equation for Louis's purchase is: ![x+y=8](https://tex.z-dn.net/?f=x%2By%3D8)
The equation for Kate's purchase is: ![y+z=9](https://tex.z-dn.net/?f=y%2Bz%3D9)
The equation for Biff's purchase is: ![x+y+z=13.50](https://tex.z-dn.net/?f=x%2By%2Bz%3D13.50)
Step-by-step explanation:
First of all we have to define variables for each item involved in the purchase
Let x represent burger
y represent soda
z be the slice of pizza
Then
"Louis bought a burger and soda for $8"
![x+y=8](https://tex.z-dn.net/?f=x%2By%3D8)
"Kate purchased a slice of pizza and soda for $9"
![y+z=9](https://tex.z-dn.net/?f=y%2Bz%3D9)
"Biff purchased a burger, a slice of pizza and a soda for $13.50"
![x+y+z=13.50](https://tex.z-dn.net/?f=x%2By%2Bz%3D13.50)
The equation for Louis's purchase is: ![x+y=8](https://tex.z-dn.net/?f=x%2By%3D8)
The equation for Kate's purchase is: ![y+z=9](https://tex.z-dn.net/?f=y%2Bz%3D9)
The equation for Biff's purchase is: ![x+y+z=13.50](https://tex.z-dn.net/?f=x%2By%2Bz%3D13.50)
Keywords: Linear Equations, Variables
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