Solve y=3x-9/4x

$$y = \frac { 3 x - 9 } { 4 x }$$

Solve for x

$$x=-\frac{9}{4y-3}$$

$$y\neq \frac{3}{4}$$

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 4x.

$$y\times 4x=3x-9$$

Subtract 3x from both sides.

$$y\times 4x-3x=-9$$

Combine all terms containing x.

$$\left(y\times 4-3\right)x=-9$$

The equation is in standard form.

$$\left(4y-3\right)x=-9$$

Divide both sides by 4y-3.

$$\frac{\left(4y-3\right)x}{4y-3}=-\frac{9}{4y-3}$$

Dividing by 4y-3 undoes the multiplication by 4y-3.

$$x=-\frac{9}{4y-3}$$

Variable x cannot be equal to 0.

$$x=-\frac{9}{4y-3}\text{, }x\neq 0$$

Solve for y

$$y=\frac{3}{4}-\frac{9}{4x}$$

$$x\neq 0$$