Solve y=-2/3x+2

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

Solve for x

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

Steps for Solving Linear Equation

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

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

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

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

Solution Steps

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

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