Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 23, 2024

Solve for $r$ in terms of $s, t, u$ , and $v$ where $u r=-t v s$ and $r=$ .

STEP 1

Assumptions
1. The given equation is $ur = -tvs$ .
2. We are solving for $r$ in terms of $s$ , $t$ , $u$ , and $v$ .

STEP 2

To solve for $r$ , we need to isolate $r$ on one side of the equation. We can do this by dividing both sides of the equation by $u$ .
$\frac{ur}{u} = \frac{-tvs}{u}$

STEP 3

Simplify the left side of the equation by canceling out $u$ .
$r = \frac{-tvs}{u}$

STEP 4

The expression $\frac{-tvs}{u}$ is the solution for $r$ in terms of $s$ , $t$ , $u$ , and $v$ .
$r = \frac{-tvs}{u}$
This is the final solution for $r$ .

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