Solve for x z=3x-4y

$z = 3 x - 4 y$

Step 1

Rewrite the equation as $3 x - 4 y = z$ .

$3 x - 4 y = z$

Step 2

Add $4 y$ to both sides of the equation.

$3 x = z + 4 y$

Step 3

Divide each term in $3 x = z + 4 y$ by $3$ and simplify.

Divide each term in $3 x = z + 4 y$ by $3$ .

$\frac{3 x}{3} = \frac{z}{3} + \frac{4 y}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{z}{3} + \frac{4 y}{3}$

Divide $x$ by $1$ .

$x = \frac{z}{3} + \frac{4 y}{3}$