Solve x-3/y-3=1

$$\frac { x - 3 } { y - 3 } = 1$$

Solve for x

$$x=y$$

$$y\neq 3$$

Solution Steps

Multiply both sides of the equation by y-3.

$$x-3=y-3$$

Add 3 to both sides.

$$x=y-3+3$$

Add -3 and 3 to get 0.

$$x=y$$

Solve for y

$$y=x$$

$$x\neq 3$$

Solution Steps

Variable y cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by y-3.

$$x-3=y-3$$

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

$$y-3=x-3$$

Add 3 to both sides.

$$y=x-3+3$$

Add -3 and 3 to get 0.

$$y=x$$

Variable y cannot be equal to 3.

$$y=x\text{, }y\neq 3$$