Question

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

Explanation:

Step1: Subtract 3w and 9z from both sides

To isolate the terms with \( w \), we subtract \( 3w \) from both sides and \( 9z \) from both sides.
\( 5w + 9z - 3w - 9z = 2z + 3w - 3w - 9z \)
Simplifying both sides, we get \( 2w = -7z \).

Step2: Divide both sides by 2

To solve for \( w \), we divide both sides of the equation \( 2w = -7z \) by 2.
\( \frac{2w}{2} = \frac{-7z}{2} \)
Simplifying, we find \( w = -\frac{7}{2}z \).

Answer:

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