Solve y-1=-1/5(x+1)

$$y - 1 = - \frac { 1 } { 5 } ( x + 1 )$$

Solve for x

$$x=4-5y$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{5} by x+1.

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

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

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

Add \frac{1}{5} to both sides.

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

Add -1 and \frac{1}{5} to get -\frac{4}{5}.

$$-\frac{1}{5}x=y-\frac{4}{5}$$

Multiply both sides by -5.

$$\frac{-\frac{1}{5}x}{-\frac{1}{5}}=\frac{y-\frac{4}{5}}{-\frac{1}{5}}$$

Dividing by -\frac{1}{5} undoes the multiplication by -\frac{1}{5}.

$$x=\frac{y-\frac{4}{5}}{-\frac{1}{5}}$$

Divide y-\frac{4}{5} by -\frac{1}{5} by multiplying y-\frac{4}{5} by the reciprocal of -\frac{1}{5}.

$$x=4-5y$$

Solve for y

$$y=\frac{4-x}{5}$$

Solution Steps

Use the distributive property to multiply -\frac{1}{5} by x+1.

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

Add 1 to both sides.

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

Add -\frac{1}{5} and 1 to get \frac{4}{5}.

$$y=-\frac{1}{5}x+\frac{4}{5}$$