Aparty rental company has chairs and tables for rent. the total cost to rent 8 chairs and 3 tables is $38. the total cost to rent 2 chairs and 5 tables is $35. what is the cost to rent each chair and each table?

cost to rent each chair: $

cost to rent each table: $

Let c be the chairs and t be the tables.  This is a system of equations you are dealing with.  The first equation tells us that 8 chairs (8c) plus 3 tables (3t) cost $38.  So the equation is 8c + 3t = 38.  The second equation tells us that 2 chairs (2c) and 5 tables (5t) cost $35.  So that equation is 2c + 5t = $35.  Solve this system any way you'd like.  I used elimination and multiplied the second equation by -4 to get a new equation:  -8c - 20t = -140.  Now the 8c's eliminate one another leaving you with -17t = -102.  Solving for t gives you t = 6.  Now sub in that t value in either equation to give you that each chair costs $2.50