Solve y=-2x-6/-3

$$y = \frac { - 2 x - 6 } { - 3 }$$

Solve for x

$$x=\frac{3\left(y-2\right)}{2}$$

Steps for Solving Linear Equation

Divide each term of -2x-6 by -3 to get \frac{2}{3}x+2.

$$y=\frac{2}{3}x+2$$

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

$$\frac{2}{3}x+2=y$$

Subtract 2 from both sides.

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

Divide both sides of the equation by \frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by \frac{2}{3} undoes the multiplication by \frac{2}{3}.

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

Divide y-2 by \frac{2}{3} by multiplying y-2 by the reciprocal of \frac{2}{3}.

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

Solve for y

$$y=\frac{2\left(x+3\right)}{3}$$

Solution Steps

Divide each term of -2x-6 by -3 to get \frac{2}{3}x+2.

$$y=\frac{2}{3}x+2$$