o systems of linear equations
solving a word problem using a system of linear equatio-
amber
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?

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

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40