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kifflom [539]
3 years ago
8

In early spring, you buy 6 potted tomato plants for your container garden. The plants contained in 8 inch pots sell for $5 and t

he plants contained in 10 inch pots sell for $8. If you spend $36, how many of each size are you buying?
Mathematics
1 answer:
prohojiy [21]3 years ago
3 0
X - the number of plants in 8 in pots
y - the number of plants in 10 in pots

x+y=6\\
5x+8y=36\\\\
x=6-y\\
5x+8y=36\\
5(6-y)+8y=36\\
30-5y+8y=36\\
3y=6\\
y=2\\\\
x+2=6\\
x=4

4 plants in 8 in pots and 2 in 10 in pots.

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Answer:

Part 1:

The solution set of the system of equations is x = 1, y = 1

Part 2:

The solution set is x = 1, y = 1

Part 3:

The similarity of the system of equations in Parts 1 and 2 is that they have the same solution set

The difference of the system of equations in Parts 1 and 2 is that they are arranged differently

Step-by-step explanation:

Part 1:

The system of equation is given as follows;

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For equation (2), we have;

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