Question

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

Explanation:

Step1: Multiply both sides by \( v \)

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

Step2: Divide both sides by \( w \)

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

Answer:

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