Question

1. solve (\frac{7}{w + 4} = \frac{5}{w + 4} - \frac{6}{w})

options: -1, 1, -3, 3

Explanation:

Step1: Subtract fractions on right

$\frac{7}{w+4} = \frac{5w - 6(w+4)}{w(w+4)}$

Step2: Simplify numerator

$\frac{7}{w+4} = \frac{-w -24}{w(w+4)}$

Step3: Multiply both sides by $w(w+4)$

$7w = -w -24$

Step4: Solve for w

$8w = -24 \implies w=-3$

Answer:

-3