Solve y=4/3x-4

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

Solve for x

$$x=\frac{3\left(y+4\right)}{4}$$

Steps for Solving Linear Equation

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

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

Add 4 to both sides.

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

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

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

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

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

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

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

Solve for y

$$y=\frac{4\left(x-3\right)}{3}$$