Solve for p xp+yp=z

$x p + y p = z$

Step 1

Factor $p$ out of $x p + y p$ .

Factor $p$ out of $x p$ .

$p x + y p = z$

Factor $p$ out of $y p$ .

$p x + p y = z$

Factor $p$ out of $p x + p y$ .

$p (x + y) = z$

Step 2

Divide each term in $p (x + y) = z$ by $x + y$ and simplify.

Divide each term in $p (x + y) = z$ by $x + y$ .

$\frac{p (x + y)}{x + y} = \frac{z}{x + y}$

Simplify the left side.

Cancel the common factor of $x + y$ .

Cancel the common factor.

$\frac{p (x + y)}{x + y} = \frac{z}{x + y}$

Divide $p$ by $1$ .

$p = \frac{z}{x + y}$