Solve y=-(4/3)x+2

$$y = - ( 4 / 3 ) x + 2$$

Solve for x

$$x=-\frac{3y}{4}+\frac{3}{2}$$

Steps for Solving Linear Equation

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

$$-\frac{4}{3}x+2=y$$

Subtract 2 from both sides.

$$-\frac{4}{3}x=y-2$$

Divide both sides of the equation by -\frac{4}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{4}{3}x}{-\frac{4}{3}}=\frac{y-2}{-\frac{4}{3}}$$

Dividing by -\frac{4}{3} undoes the multiplication by -\frac{4}{3}.

$$x=\frac{y-2}{-\frac{4}{3}}$$

Divide y-2 by -\frac{4}{3} by multiplying y-2 by the reciprocal of -\frac{4}{3}.

$$x=-\frac{3y}{4}+\frac{3}{2}$$

Solve for y

$$y=-\frac{4x}{3}+2$$