a party rental company has chairs and tables for rent. the total cost to rent three chairs and five tables is $52. The total cost to rent 9 chairs and 7 tables is$86. what is the cost to rent each chair and each table?

The cost for 1 chair is $2.75 and the cost for 1 table is $8.75.

Step-by-step explanation:

Use the elimination method of linear equations to find your answer.

Our equations for this problem are:

3c+5t=52 and 9c+7t=86

Multiply the entire first equation by -3.

-3(3c+5t=52)

Simplify the equation from above:

-9c-15t=-156

Stack the two equations on top of each other and add/subtract:

-9c-15t=-156

9c+7t=86

You should be left with -8t=-70. Simplify this to find the value of t:

t=8.75

Plug the value of t into any of the original equations and solve for c.

3c+5(8.75)=52

Simplify the equation above:

3c+43.75=52

Subtract 43.75 from both sides of the equation:

3c=8.25

Divide both sides by 3 to get your c value:

c=2.75

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step-by-step explanation: