Solve for w - 8/w+8 = -5

Question

asked Sep 8, 2024 129k views

2 Answers

Juan Di Diego · Answer 1 · 2024-09-10T19:09:05+0000

Answer:

Step-by-step explanation:

To solve for w, begin by multiplying each side by w + 8:

$\sf{(-8)/(w+8)=-5}$

$\sf{-8=-5(w+8)}$

$\sf{-5(w+8)=-8}$

$\sf{-5w-40=-8}$

Add 40 on each side:

$\sf{-5w=-8+40}$

$\sf{-5w=32}$

Divide each side by -5:

$\sf{w=-(32)/(5)}$

David Pope · Answer 2 · 2024-09-15T08:24:59+0000

Answer:

w =
(8)/(13)

Step-by-step explanation:

-
(8)/(w) + 8 = - 5 ( subtract 8 from both sides )

-
(8)/(w) = - 13 ( multiply both sides by w )

- 8 = - 13w ( isolate w by dividing both sides by - 13 )

(-8)/(-13) = w , that is

w =
(8)/(13)