Question

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O SYSTEMS OF LINEAR EQUATIONS
Solving a word problem using a system of linear equatio-
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A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 8 tables is 58. The total cost to rent 5 chairs and 2 tables is $23.
What is the cost to rent each chair and each table?

Answer 1

Answer:

Step-by-step explanation:

3C + 8T = 58 ----- (eq1)

5C + 2T = 23 ------(eq2)

Multiply equation (1) by 5 and equation (2) by 3

15C + 40T = 290 -----(eq3)

15C + 6T = 69 ----------(eq4)

Subtract equation (4) from (3)

34T = 221

T = 221/34

T = $6.5

Therefore 1 Table will cost $6 and 5 cents

Solve for (C) in equation (1)

3C + 8T = 58

3C + 8(6.5) = 58

3C + 52 = 58

3C = 58-52

3C = 6

C = 6/3

C = $2

1 Chair will cost $2