Solve y-4=-1/5(x-3)

$$y - 4 = - \frac { 1 } { 5 } ( x - 3 )$$

Solve for x

$$x=23-5y$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{5} by x-3.

$$y-4=-\frac{1}{5}x+\frac{3}{5}$$

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

$$-\frac{1}{5}x+\frac{3}{5}=y-4$$

Subtract \frac{3}{5} from both sides.

$$-\frac{1}{5}x=y-4-\frac{3}{5}$$

Subtract \frac{3}{5} from -4 to get -\frac{23}{5}.

$$-\frac{1}{5}x=y-\frac{23}{5}$$

Multiply both sides by -5.

$$\frac{-\frac{1}{5}x}{-\frac{1}{5}}=\frac{y-\frac{23}{5}}{-\frac{1}{5}}$$

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

$$x=\frac{y-\frac{23}{5}}{-\frac{1}{5}}$$

Divide y-\frac{23}{5} by -\frac{1}{5} by multiplying y-\frac{23}{5} by the reciprocal of -\frac{1}{5}.

$$x=23-5y$$

Solve for y

$$y=\frac{23-x}{5}$$

Solution Steps

Use the distributive property to multiply -\frac{1}{5} by x-3.

$$y-4=-\frac{1}{5}x+\frac{3}{5}$$

Add 4 to both sides.

$$y=-\frac{1}{5}x+\frac{3}{5}+4$$

Add \frac{3}{5} and 4 to get \frac{23}{5}.

$$y=-\frac{1}{5}x+\frac{23}{5}$$