find the cost to rent each chair and each table

Question

A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 3 tables is $23. The total cost to rent 6  chairs and 5 tables is $43. What is the cost to rent each chair and each table?

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Answer 1

2C + 3T = 23

6C+5T = 43

multiply 1st equation by 3 and subtract the 2nd equation from the result to eliminate one variable

6C + 9T = 69

6C + 5T =43

4T = 26

T = 26/4 = $6.50 for a table

2C = 23-3(6.5) = 23 -19.5

C = 3.5/2 = $1.75 for a chair

6(1.75)+5(6.5) = 10.5+32.5 = 43