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

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

Solve for x

$$x=-5y-28$$

Steps for Solving Linear Equation

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

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

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

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

Add \frac{3}{5} to both sides.

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

Add 5 and \frac{3}{5} to get \frac{28}{5}.

$$-\frac{1}{5}x=y+\frac{28}{5}$$

Multiply both sides by -5.

$$\frac{-\frac{1}{5}x}{-\frac{1}{5}}=\frac{y+\frac{28}{5}}{-\frac{1}{5}}$$

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

$$x=\frac{y+\frac{28}{5}}{-\frac{1}{5}}$$

Divide y+\frac{28}{5} by -\frac{1}{5} by multiplying y+\frac{28}{5} by the reciprocal of -\frac{1}{5}.

$$x=-5y-28$$

Solve for y

$$y=\frac{-x-28}{5}$$

Solution Steps

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

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

Subtract 5 from both sides.

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

Subtract 5 from -\frac{3}{5} to get -\frac{28}{5}.

$$y=-\frac{1}{5}x-\frac{28}{5}$$