Solve 9(x-1)+6=xy+14

$$9(x-1)+6=xy+14$$

Solve for x

$$x=\frac{17}{9-y}$$

$$y\neq 9$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by x-1.

$$9x-9+6=xy+14$$

Add -9 and 6 to get -3.

$$9x-3=xy+14$$

Subtract xy from both sides.

$$9x-3-xy=14$$

Add 3 to both sides.

$$9x-xy=14+3$$

Add 14 and 3 to get 17.

$$9x-xy=17$$

Combine all terms containing x.

$$\left(9-y\right)x=17$$

Divide both sides by -y+9.

$$\frac{\left(9-y\right)x}{9-y}=\frac{17}{9-y}$$

Dividing by -y+9 undoes the multiplication by -y+9.

$$x=\frac{17}{9-y}$$

Solve for y

$$y=9-\frac{17}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by x-1.

$$9x-9+6=xy+14$$

Add -9 and 6 to get -3.

$$9x-3=xy+14$$

Swap sides so that all variable terms are on the left hand side.

$$xy+14=9x-3$$

Subtract 14 from both sides.

$$xy=9x-3-14$$

Subtract 14 from -3 to get -17.

$$xy=9x-17$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{9x-17}{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{9x-17}{x}$$

Divide 9x-17 by x.

$$y=9-\frac{17}{x}$$