Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 01, 2023

Solve the equation $9v - 1(2u + 4) = 0$ for variable $v$ .

STEP 1

Assumptions1. We are given the equation $9v -1(u +4) =0$ . We are asked to solve for the variable $v$
3. We assume that $u$ is a known constant

STEP 2

First, we need to simplify the equation. We can do this by distributing the $-1$ across the terms in the parentheses.
$9v -1(2u +4) =9v -2u -4$

STEP 3

Now, we need to isolate $v$ on one side of the equation. We can do this by adding $2u +$ to both sides of the equation.
$9v =2u +$

STEP 4

Finally, we can solve for $v$ by dividing both sides of the equation by $9$ .
$v = \frac{2u +4}{9}$ So, the solution to the equation $9v -1(2u +4) =0$ for the variable $v$ is $v = \frac{2u +4}{9}$ .

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