A party rental company has chairs and table for rent. the total cost to rent 2 chairs and 3 tables is $29. the total cost to rent 6 chairs and 5 tables is $53. What is the cost to rent each chair and table?

Let C = cost to rent each chair

Let T = cost to rent each table

4C + 8T = 73

2C + 3T = 28

Multiply the 2nd equation by (-2) and then add the equations together

4C + 8T = 73

-4C - 6T = - 56

2T = 17

T = 17/2 = 8.5

Plug this in to the 1st equation to solve for C

4C + 8 (17/2) = 73

4C + 68 = 73

4C = 5

C = 5/4 = 1.25

So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50