Solve y=4/3x-2

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

Solve for x

$$x=\frac{4}{3\left(y+2\right)}$$

$$y\neq -2$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x.

$$y\times 3x=4+3x\left(-2\right)$$

Multiply 3 and -2 to get -6.

$$y\times 3x=4-6x$$

Add 6x to both sides.

$$y\times 3x+6x=4$$

Combine all terms containing x.

$$\left(y\times 3+6\right)x=4$$

The equation is in standard form.

$$\left(3y+6\right)x=4$$

Divide both sides by 3y+6.

$$\frac{\left(3y+6\right)x}{3y+6}=\frac{4}{3y+6}$$

Dividing by 3y+6 undoes the multiplication by 3y+6.

$$x=\frac{4}{3y+6}$$

Divide 4 by 3y+6.

$$x=\frac{4}{3\left(y+2\right)}$$

Variable x cannot be equal to 0.

$$x=\frac{4}{3\left(y+2\right)}\text{, }x\neq 0$$

Solve for y

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

$$x\neq 0$$