Solve for x y=7x-7z-9

$y = 7 x - 7 z - 9$

Rewrite the equation as $7 x - 7 z - 9 = y$ .

$7 x - 7 z - 9 = y$

Move all terms not containing $x$ to the right side of the equation.

Add $7 z$ to both sides of the equation.

$7 x - 9 = y + 7 z$

Add $9$ to both sides of the equation.

$7 x = y + 7 z + 9$

Divide each term in $7 x = y + 7 z + 9$ by $7$ and simplify.

Divide each term in $7 x = y + 7 z + 9$ by $7$ .

$\frac{7 x}{7} = \frac{y}{7} + \frac{7 z}{7} + \frac{9}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{y}{7} + \frac{7 z}{7} + \frac{9}{7}$

Divide $x$ by $1$ .

$x = \frac{y}{7} + \frac{7 z}{7} + \frac{9}{7}$

Simplify the right side.

Cancel the common factor of $7$ .

Cancel the common factor.

$x = \frac{y}{7} + \frac{7 z}{7} + \frac{9}{7}$

Divide $z$ by $1$ .

$x = \frac{y}{7} + z + \frac{9}{7}$