Question

Solve for x in terms of v and w.
v=–x/w

x=

Answer 1

To solve for \( x \) in terms of \( v \) and \( w \) in the equation

\[
v = -\frac{x}{w},
\]

we can first multiply both sides by \( w \) to eliminate the fraction:

\[
v \cdot w = -x.
\]

Next, we can multiply both sides by -1 to isolate \( x \):

\[
-x = v \cdot w \quad \Rightarrow \quad x = -v \cdot w.
\]

Thus, the solution for \( x \) in terms of \( v \) and \( w \) is

\[
x = -vw.
\]