Solve for p r=4/3(p-q)

$r = \frac{4}{3} (p - q)$

Step 1

Rewrite the equation as $\frac{4}{3} \cdot (p - q) = r$ .

$\frac{4}{3} \cdot (p - q) = r$

Step 2

Multiply both sides of the equation by $\frac{3}{4}$ .

$\frac{3}{4} (\frac{4}{3} \cdot (p - q)) = \frac{3}{4} r$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{3}{4} (\frac{4}{3} \cdot (p - q))$ .

Apply the distributive property.

$\frac{3}{4} (\frac{4}{3} p + \frac{4}{3} (- q)) = \frac{3}{4} r$

Combine $\frac{4}{3}$ and $p$ .

$\frac{3}{4} (\frac{4 p}{3} + \frac{4}{3} (- q)) = \frac{3}{4} r$

Combine $\frac{4}{3}$ and $q$ .

$\frac{3}{4} (\frac{4 p}{3} - \frac{4 q}{3}) = \frac{3}{4} r$

Apply the distributive property.

$\frac{3}{4} \cdot \frac{4 p}{3} + \frac{3}{4} (- \frac{4 q}{3}) = \frac{3}{4} r$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3}{4} \cdot \frac{4 p}{3} + \frac{3}{4} (- \frac{4 q}{3}) = \frac{3}{4} r$

Rewrite the expression.

$\frac{1}{4} (4 p) + \frac{3}{4} (- \frac{4 q}{3}) = \frac{3}{4} r$

Cancel the common factor of $4$ .

Factor $4$ out of $4 p$ .

$\frac{1}{4} (4 (p)) + \frac{3}{4} (- \frac{4 q}{3}) = \frac{3}{4} r$

Cancel the common factor.

$\frac{1}{4} (4 p) + \frac{3}{4} (- \frac{4 q}{3}) = \frac{3}{4} r$

Rewrite the expression.

$p + \frac{3}{4} (- \frac{4 q}{3}) = \frac{3}{4} r$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{4 q}{3}$ into the numerator.

$p + \frac{3}{4} \cdot \frac{- 4 q}{3} = \frac{3}{4} r$

Cancel the common factor.

$p + \frac{3}{4} \cdot \frac{- 4 q}{3} = \frac{3}{4} r$

Rewrite the expression.

$p + \frac{1}{4} (- 4 q) = \frac{3}{4} r$

Cancel the common factor of $4$ .

Factor $4$ out of $- 4 q$ .

$p + \frac{1}{4} (4 (- q)) = \frac{3}{4} r$

Cancel the common factor.

$p + \frac{1}{4} (4 (- q)) = \frac{3}{4} r$

Rewrite the expression.

$p - q = \frac{3}{4} r$

Simplify the right side.

Combine $\frac{3}{4}$ and $r$ .

$p - q = \frac{3 r}{4}$

Step 4

Add $q$ to both sides of the equation.

$p = \frac{3 r}{4} + q$

Solve for p r=4/3(p-q)

Related Questions

Support LCMGCF.com by disabling your adblocker.