Question

solve for u in terms of t, v, and w.
v = \frac{1}{t}uw
u =

Explanation:

Step1: Multiply both sides by \( t \)

To eliminate the denominator \( t \) on the right - hand side, we multiply both sides of the equation \( v=\frac{1}{t}uw \) by \( t \). Using the multiplication property of equality (if \( a = b \), then \( a\times c=b\times c \)), we get:
\( v\times t=\frac{1}{t}uw\times t \)
Simplifying the right - hand side, the \( t \) in the numerator and denominator cancels out, and we have \( vt = uw \)

Step2: Divide both sides by \( w \)

To solve for \( u \), we need to isolate \( u \). Since \( u \) is multiplied by \( w \), we use the division property of equality (if \( a = b \), then \( \frac{a}{c}=\frac{b}{c} \) for \( c
eq0 \)). We divide both sides of the equation \( vt = uw \) by \( w \) (assuming \( w
eq0 \)):
\( \frac{vt}{w}=\frac{uw}{w} \)
Simplifying the right - hand side, the \( w \) in the numerator and denominator cancels out, and we get \( u=\frac{vt}{w} \)

Answer:

\( \frac{vt}{w} \)