Solve y-18/5=-(x+6/5)

$$y - \frac { 18 } { 5 } = - ( x + \frac { 6 } { 5 } )$$

Solve for x

$$x=\frac{12}{5}-y$$

Steps for Solving Linear Equation

To find the opposite of x+\frac{6}{5}, find the opposite of each term.

$$y-\frac{18}{5}=-x-\frac{6}{5}$$

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

$$-x-\frac{6}{5}=y-\frac{18}{5}$$

Add \frac{6}{5} to both sides.

$$-x=y-\frac{18}{5}+\frac{6}{5}$$

Add -\frac{18}{5} and \frac{6}{5} to get -\frac{12}{5}.

$$-x=y-\frac{12}{5}$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{y-\frac{12}{5}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{y-\frac{12}{5}}{-1}$$

Divide y-\frac{12}{5} by -1.

$$x=\frac{12}{5}-y$$

Solve for y

$$y=\frac{12}{5}-x$$

Solution Steps

To find the opposite of x+\frac{6}{5}, find the opposite of each term.

$$y-\frac{18}{5}=-x-\frac{6}{5}$$

Add \frac{18}{5} to both sides.

$$y=-x-\frac{6}{5}+\frac{18}{5}$$

Add -\frac{6}{5} and \frac{18}{5} to get \frac{12}{5}.

$$y=-x+\frac{12}{5}$$