Question

1. solve the equation for a:

-9a = -3w + 2v
a. $a = \frac{-3w + 2v}{9}$
b. $a = \frac{-3w - 2v}{9}$
c. $a = \frac{3w - 2v}{9}$
d. $a = \frac{3w + 2v}{9}$

Explanation:

Step1: Divide both sides by -9

To solve for \( a \) in the equation \( -9a = -3w + 2v \), we divide both sides of the equation by \( -9 \).
\[
a=\frac{-3w + 2v}{-9}
\]

Step2: Simplify the fraction

We can simplify the fraction by factoring out a negative sign from the numerator.
\[
a=\frac{-(3w - 2v)}{-9}=\frac{3w - 2v}{9}
\]

Answer:

C. \( a = \frac{3w - 2v}{9} \)