Solve y=1000-373x^-1

$$y = 1000-373 { x }^{ -1 }$$

Solve for x

$$x=-\frac{373}{y-1000}$$

$$y\neq 1000$$

Steps for Solving Linear Equation

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

$$1000-373x^{-1}=y$$

Reorder the terms.

$$1000-373\times \frac{1}{x}=y$$

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

$$x\times 1000-373=yx$$

Subtract yx from both sides.

$$x\times 1000-373-yx=0$$

Add 373 to both sides. Anything plus zero gives itself.

$$x\times 1000-yx=373$$

Combine all terms containing x.

$$\left(1000-y\right)x=373$$

Divide both sides by 1000-y.

$$\frac{\left(1000-y\right)x}{1000-y}=\frac{373}{1000-y}$$

Dividing by 1000-y undoes the multiplication by 1000-y.

$$x=\frac{373}{1000-y}$$

Variable x cannot be equal to 0.

$$x=\frac{373}{1000-y}\text{, }x\neq 0$$

Solve for y

$$y=1000-\frac{373}{x}$$

$$x\neq 0$$