Solve for z wx+yz=bc

$w x + y z = b c$

Step 1

Subtract $w x$ from both sides of the equation.

$y z = b c - w x$

Step 2

Divide each term in $y z = b c - w x$ by $y$ and simplify.

Divide each term in $y z = b c - w x$ by $y$ .

$\frac{y z}{y} = \frac{b c}{y} + \frac{- w x}{y}$

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{y z}{y} = \frac{b c}{y} + \frac{- w x}{y}$

Divide $z$ by $1$ .

$z = \frac{b c}{y} + \frac{- w x}{y}$

Simplify the right side.

Move the negative in front of the fraction.

$z = \frac{b c}{y} - \frac{w x}{y}$