Solve y=5/x-4

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

Solve for x

$$x=\frac{5}{y+4}$$

$$y\neq -4$$

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 x.

$$yx=5+x\left(-4\right)$$

Subtract x\left(-4\right) from both sides.

$$yx-x\left(-4\right)=5$$

Multiply -1 and -4 to get 4.

$$yx+4x=5$$

Combine all terms containing x.

$$\left(y+4\right)x=5$$

Divide both sides by y+4.

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

Dividing by y+4 undoes the multiplication by y+4.

$$x=\frac{5}{y+4}$$

Variable x cannot be equal to 0.

$$x=\frac{5}{y+4}\text{, }x\neq 0$$

Solve for y

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

$$x\neq 0$$