Solve x=-y-3/2/5

$$x = \frac { - y - \frac { 3 } { 2 } } { 5 }$$

Solve for y

$$y=-5x-\frac{3}{2}$$

Steps for Solving Linear Equation

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

$$\frac{-y-\frac{3}{2}}{5}=x$$

Divide each term of -y-\frac{3}{2} by 5 to get -\frac{1}{5}y-\frac{3}{10}.

$$-\frac{1}{5}y-\frac{3}{10}=x$$

Add \frac{3}{10} to both sides.

$$-\frac{1}{5}y=x+\frac{3}{10}$$

Multiply both sides by -5.

$$\frac{-\frac{1}{5}y}{-\frac{1}{5}}=\frac{x+\frac{3}{10}}{-\frac{1}{5}}$$

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

$$y=\frac{x+\frac{3}{10}}{-\frac{1}{5}}$$

Divide x+\frac{3}{10} by -\frac{1}{5} by multiplying x+\frac{3}{10} by the reciprocal of -\frac{1}{5}.

$$y=-5x-\frac{3}{2}$$

Solve for x

$$x=-\frac{y}{5}-\frac{3}{10}$$

Solution Steps

Divide each term of -y-\frac{3}{2} by 5 to get -\frac{1}{5}y-\frac{3}{10}.

$$x=-\frac{1}{5}y-\frac{3}{10}$$