Question

Solve for w 4-(3)/(w+1)=(5)/(w+2) If there is more than one solution, separate them with comma If there is no solution, click on "No solution".

Answer 1

To solve for w in the equation 4 - 3/(w+1) = 5/(w+2), we can multiply the entire equation by (w+1)(w+2) to eliminate the denominators and then simplify to find the value of w.

Step-by-step explanation:

To solve the equation 4 - 3/(w+1) = 5/(w+2) for w, we can start by multiplying the entire equation by (w+1)(w+2) to eliminate the denominators:

(w+1)(w+2)(4 - 3/(w+1)) = (w+1)(w+2)(5/(w+2))

Simplifying, we get:

(w+2)(4 - 3) = 5(w+1)

Expanding and combining like terms:

4w + 8 - 3w - 6 = 5w + 5

Combining like terms again:

w + 2 = 5w + 5

Subtracting w from both sides:

2 = 4w + 5

Subtracting 5 from both sides:

-3 = 4w

Dividing both sides by 4:

w = -3/4