Answer: The equations that can be used to find the number of 7 inch plates,x, and the number of 12 inch plate,y, that are in the cabinet are
x + y = 15
7x + 12y = 140
Explanation:
The diameter of each plate is either 7 inches or 12 inches.
Let x represent the number of 7 inches plate
Let y represent the number of 12 inches plate
There are 15 plates in the kitchen cabinet. This means that the sum of the 7 inches plate and the 12 inches plate is 15. It is expressed as
x + y = 15
The diameter of all 15 plates combined is 140 inches. This means that
7x + 12y = 140