Question

A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 3 tables is $30. The total cost to rent 2 chairs and 6 tables is $42. What is the cost to rent each chair and each table?

Answer 1

$2.25 for each chair and $6.25 for each table.

Explanation:

x = chairs

y = tables

-2 (5x + 3y = 30) Solve and and you get -10x - 6y = -60

I used the Combination and Elimination method

2x + 6y = 42

-10x - 6y= -60

Eliminate the two y values

-10x + 2x = -8x

-60 + 42 = -18

-8x = -18

8x ÷ 8 = x

-18 ÷ -8 = 2.25

x = 2.25

To solve for y, substitute the x value in one of the equations.

5x + 3y = 30

5(2.25) + 3y = 30

11.25 + 3y = 30

Subtract 11.25 from both sides

11.25 - 11.25 = 0

30 - 11.25 = 18.75

3y = 18.75

Divide both sides by 3 to get y.

y = 6.25

(2.25,6.25)