Question

The total cost of 1 table and 1 chair is $164. The total cost of 3 tables and 9 chairs is $708. What is the cost of one table

Answer 1

Answer:

x= $128

Step-by-step explanation:

x is tables y is chairs

x + y = 164

3x + 9y = 708

x = 164-y

3(164-y) +9y = 708

492 +6y = 708

6y = 216

y=36

x= 164 - (36)

x=128

Brainliest Appreciated

Answer 2

Answer:

$128

Step-by-step explanation:

let t be the cost of 1 table and c the cost of 1 chair , then

t + c = 164 → (1)

3t + 9c = 708 → (2)

In (1) subtract t from both sides )

c = 164 - t

substitute c = 164 - t into (2)

3t + 9(164 - t) = 708 ← distribute parenthesis and simplify left side

3t + 1476 - 9t = 708

- 6t + 1476 = 708 ( subtract 1476 from both sides )

- 6t = - 768 ( divide both sides by - 6 )

t = 128

The cost ost of 1 table is $128