Solve for v in terms of w, x, and y.

x= –1/y vw
v=

1 answer

To solve for \( v \) in terms of \( w \), \( x \), and \( y \) from the equation \( x = -\frac{1}{y} vw \), we need to isolate \( v \).

Starting with the equation:

\[ x = -\frac{1}{y} vw \]

We can multiply both sides by \( -y \) to eliminate the fraction:

\[ -x \cdot y = vw \]

Next, to solve for \( v \), we divide both sides by \( w \):

\[ v = \frac{-xy}{w} \]

So, \( v \) in terms of \( w \), \( x \), and \( y \) is:

\[ \boxed{v = \frac{-xy}{w}} \]