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?

Answer: Table = 6.50; Chair = 1.75

Step-by-step explanation:

2c + 3t = 23

6c + 5t = 43

Multiply the first equation by - 3

-6c - 9t = - 69

Then, add the following lines together:

-6c - 9t = - 69

6c + 5t = 43

-4t = - 26

t = - 26/-4 = 6.5

Plug in the value of t into 2c + 3t = 23

2c + 19.5 = 23

Subtract 19.5 from both sides

2c = 3.5

c = 3.5/2 = 1.75

chairs: $1.75, tables: $6.50

Step-by-step explanation:

x is tables, y is chairs.

3x + 2y=23

5x+6y=43

then:

9x+6y=69 (multiply all by 3)

-5x-6x=-43 (multiply by - 1)

Now add

4x=26

x=6.5

plug x back in to find y

3 (6.5) + 2y+=23

2y=3.5

y=1.75