Solve for s k/(w(s-r))=V

$\frac{k}{w (s - r)} = V$

Step 1

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$w (s - r), 1$

The LCM of one and any expression is the expression.

$w (s - r)$

Step 2

Multiply each term in $\frac{k}{w (s - r)} = V$ by $w (s - r)$ to eliminate the fractions.

Multiply each term in $\frac{k}{w (s - r)} = V$ by $w (s - r)$ .

$\frac{k}{w (s - r)} (w (s - r)) = V (w (s - r))$

Simplify the left side.

Cancel the common factor of $w (s - r)$ .

Cancel the common factor.

$\frac{k}{w (s - r)} (w (s - r)) = V (w (s - r))$

Rewrite the expression.

$k = V (w (s - r))$

Simplify the right side.

Apply the distributive property.

$k = V (w s + w (- r))$

Rewrite using the commutative property of multiplication.

$k = V (w s - w r)$

Apply the distributive property.

$k = V (w s) + V (- w r)$

Rewrite using the commutative property of multiplication.

$k = V w s - V w r$

Step 3

Solve the equation.

Rewrite the equation as $V w s - V w r = k$ .

$V w s - V w r = k$

Add $V w r$ to both sides of the equation.

$V w s = k + V w r$

Divide each term in $V w s = k + V w r$ by $V w$ and simplify.

Divide each term in $V w s = k + V w r$ by $V w$ .

$\frac{V w s}{V w} = \frac{k}{V w} + \frac{V w r}{V w}$

Simplify the left side.

Cancel the common factor of $V$ .

Cancel the common factor.

$\frac{V w s}{V w} = \frac{k}{V w} + \frac{V w r}{V w}$

Rewrite the expression.

$\frac{w s}{w} = \frac{k}{V w} + \frac{V w r}{V w}$

Cancel the common factor of $w$ .

Cancel the common factor.

$\frac{w s}{w} = \frac{k}{V w} + \frac{V w r}{V w}$

Divide $s$ by $1$ .

$s = \frac{k}{V w} + \frac{V w r}{V w}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $V$ .

Cancel the common factor.

$s = \frac{k}{V w} + \frac{V w r}{V w}$

Rewrite the expression.

$s = \frac{k}{V w} + \frac{w r}{w}$

Cancel the common factor of $w$ .

Cancel the common factor.

$s = \frac{k}{V w} + \frac{w r}{w}$

Divide $r$ by $1$ .

$s = \frac{k}{V w} + r$

Solve for s k/(w(s-r))=V

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