Solve 5yx-4y=-237

$$5 y x - 4 y = - 237$$

Solve for x

$$x=\frac{4}{5}-\frac{237}{5y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Add 4y to both sides.

$$5yx=-237+4y$$

The equation is in standard form.

$$5yx=4y-237$$

Divide both sides by 5y.

$$\frac{5yx}{5y}=\frac{4y-237}{5y}$$

Dividing by 5y undoes the multiplication by 5y.

$$x=\frac{4y-237}{5y}$$

Divide -237+4y by 5y.

$$x=\frac{4}{5}-\frac{237}{5y}$$

Solve for y

$$y=-\frac{237}{5x-4}$$

$$x\neq \frac{4}{5}$$

Steps for Solving Linear Equation

Combine all terms containing y.

$$\left(5x-4\right)y=-237$$

Divide both sides by 5x-4.

$$\frac{\left(5x-4\right)y}{5x-4}=-\frac{237}{5x-4}$$

Dividing by 5x-4 undoes the multiplication by 5x-4.

$$y=-\frac{237}{5x-4}$$