Solve y+3=1/5(x-8)

$$y + 3 = \frac { 1 } { 5 } ( x - 8 )$$

Solve for x

$$x=5y+23$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{5} by x-8.

$$y+3=\frac{1}{5}x-\frac{8}{5}$$

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

$$\frac{1}{5}x-\frac{8}{5}=y+3$$

Add \frac{8}{5} to both sides.

$$\frac{1}{5}x=y+3+\frac{8}{5}$$

Add 3 and \frac{8}{5} 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}.

$$x=5y+23$$

Solve for y

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

Solution Steps

Use the distributive property to multiply \frac{1}{5} by x-8.

$$y+3=\frac{1}{5}x-\frac{8}{5}$$

Subtract 3 from both sides.

$$y=\frac{1}{5}x-\frac{8}{5}-3$$

Subtract 3 from -\frac{8}{5} to get -\frac{23}{5}.

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