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Solve for $u$ in terms of $q$ , $r$ , $s$ , and $t$ . $\newline$ $sr = -utq$ $\newline$ $u =$ ______

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Solve multi-variable equations

Full solution

Q. Solve for

u

in terms of

q

,

r

,

s

, and

t

.

\newline

sr = -utq

\newline

u =

______

Divide by $-tq$ : We have the equation $sr = -utq$ . To isolate $u$ , we should divide both sides by $-tq$ .
Isolate $u$ : Divide both sides by $-tq$ to get $u$ by itself. $\newline$ $u = \frac{sr}{(-tq)}$
Check solution: Check the solution to make sure it makes sense. We isolated $u$ and expressed it in terms of $q$ , $r$ , $s$ , and $t$ , which was what we were asked to do.

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