Question

Solve? High school Pre-cal, Gradpoint

Answer 1

w = - 3 only

Explanation:

Given

`(7)/(w+4)` =
`(5)/(w+4)` -
`(6)/(w)`

Note that w ≠ - 4, 0 as this would give division by 0

Multiply through by w(w + 4)

7w = 5w - 6(w + 4) ← distribute and simplify right side

7w = 5w - 6w - 24

7w = - w - 24 ( add w to both sides )

8w = - 24 ( divide both sides by 8 )

w = - 3

Answer 2

Answer: w = - 3 only

Step-by-step explanation: please see attachment for explanation.

Note if w = 0 or - 4 the expression will be undefined