Solve -x-5/y-1=-1=

$$\frac{ -x-5 }{ y-1 } =-1=$$

Solve for x

$$x=y-6$$

$$y\neq 1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y-1.

$$-x-5=-\left(y-1\right)$$

To find the opposite of y-1, find the opposite of each term.

$$-x-5=-y+1$$

Add 5 to both sides.

$$-x=-y+1+5$$

Add 1 and 5 to get 6.

$$-x=-y+6$$

The equation is in standard form.

$$-x=6-y$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{6-y}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{6-y}{-1}$$

Divide -y+6 by -1.

$$x=y-6$$

Solve for y

$$y=x+6$$

$$x\neq -5$$

Steps for Solving Linear Equation

Variable y cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by y-1.

$$-x-5=-\left(y-1\right)$$

To find the opposite of y-1, find the opposite of each term.

$$-x-5=-y+1$$

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

$$-y+1=-x-5$$

Subtract 1 from both sides.

$$-y=-x-5-1$$

Subtract 1 from -5 to get -6.

$$-y=-x-6$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{-x-6}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{-x-6}{-1}$$

Divide -x-6 by -1.

$$y=x+6$$

Variable y cannot be equal to 1.

$$y=x+6\text{, }y\neq 1$$