Question

solve for w.
$5w + 9z = 2z + 3w$
options:
$w = -\frac{7}{2}z$
$w = -2z$
$w = -\frac{2}{7}z$
$w = -7z$

Explanation:

Step1: Subtract \(3w\) from both sides

\(5w + 9z - 3w = 2z + 3w - 3w\)
Simplify to get \(2w + 9z = 2z\)

Step2: Subtract \(9z\) from both sides

\(2w + 9z - 9z = 2z - 9z\)
Simplify to get \(2w = -7z\)

Step3: Divide both sides by 2

\(\frac{2w}{2}=\frac{-7z}{2}\)
Simplify to get \(w = -\frac{7}{2}z\)

Answer:

\(w = -\frac{7}{2}z\) (corresponding to the option \(w = -\frac{7}{2}z\))