Solve y=-2/3x-12

$$y = \frac{ -2 }{ 3 } x-12$$

Solve for x

$$x=-\frac{3y}{2}-18$$

Steps for Solving Linear Equation

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$y=-\frac{2}{3}x-12$$

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

$$-\frac{2}{3}x-12=y$$

Add 12 to both sides.

$$-\frac{2}{3}x=y+12$$

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

$$\frac{-\frac{2}{3}x}{-\frac{2}{3}}=\frac{y+12}{-\frac{2}{3}}$$

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

$$x=\frac{y+12}{-\frac{2}{3}}$$

Divide y+12 by -\frac{2}{3} by multiplying y+12 by the reciprocal of -\frac{2}{3}.

$$x=-\frac{3y}{2}-18$$

Solve for y

$$y=-\frac{2x}{3}-12$$

Solution Steps

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$y=-\frac{2}{3}x-12$$