Solve y+5=1/5(x+4)

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

Solve for x

$$x=5y+21$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{5} by x+4.

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

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

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

Subtract \frac{4}{5} from both sides.

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

Subtract \frac{4}{5} from 5 to get \frac{21}{5}.

$$\frac{1}{5}x=y+\frac{21}{5}$$

Multiply both sides by 5.

$$\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{y+\frac{21}{5}}{\frac{1}{5}}$$

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

$$x=\frac{y+\frac{21}{5}}{\frac{1}{5}}$$

Divide y+\frac{21}{5} by \frac{1}{5} by multiplying y+\frac{21}{5} by the reciprocal of \frac{1}{5}.

$$x=5y+21$$

Solve for y

$$y=\frac{x-21}{5}$$

Solution Steps

Use the distributive property to multiply \frac{1}{5} by x+4.

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

Subtract 5 from both sides.

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

Subtract 5 from \frac{4}{5} to get -\frac{21}{5}.

$$y=\frac{1}{5}x-\frac{21}{5}$$