Aparty rental company has chairs and tables for rent. the total cost to rent 5
chairs and 3
tables is $35
. the total cost to rent 7
chairs and 9
tables is $91
. what is the cost to rent each chair and each table?

Let chairs be  and table be 
We form two equations from the information given so we can solve simultaneously

Eq 1 ⇒ 
Eq 2 ⇒ 
            
We can either use the method of elimination or substitution. We will use the elimination method for this one

Let us eliminate the term . We need to make the two constants the same. We have  and  and we can make them both as . 

We will multiply each term in Eq 1 by 7 to obtain

We will multiply each term in Eq 2 by 5 to obtain 

Now we subtract Eq 2  from Eq 1 to obtain




So the price of one table is $8.75

Substitute 8.75 into either Eq 1 or Eq 2 to obtain the price for one chair. Let's use Eq 1







So the price of one chair is $1.75