Question

How many solutions does this equation have?

one solution?
infinite solutions?
no solutions?
Explain how you determined your answer.

9(w - 9) - 2 = -7w + 7(w - 8)

Answer 1

The given equation having only one solution i.e., "w = 3". A further explanation is provided below.

Explanation:

The given equation is:

⇒
`9(w-9)-2=-7w+7(w-8)`

By opening the brackets, we get

⇒
`9w-81-2=-7w+7w-56`

⇒
`9w-83=-56`

On adding "83" both sides, we get

⇒
`9w-83+83=-56+83`

⇒
`9w=27`

⇒
`w=(27)/(9)`

⇒
`=3`