Solve 1.5/x-1000=y

$$\frac { 1.5 } { x } - 1000 = y$$

Solve for x

$$x=\frac{3}{2\left(y+1000\right)}$$

$$y\neq -1000$$

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.

$$1.5+x\left(-1000\right)=yx$$

Subtract yx from both sides.

$$1.5+x\left(-1000\right)-yx=0$$

Subtract 1.5 from both sides. Anything subtracted from zero gives its negation.

$$x\left(-1000\right)-yx=-1.5$$

Combine all terms containing x.

$$\left(-1000-y\right)x=-1.5$$

The equation is in standard form.

$$\left(-y-1000\right)x=-1.5$$

Divide both sides by -1000-y.

$$\frac{\left(-y-1000\right)x}{-y-1000}=-\frac{1.5}{-y-1000}$$

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

$$x=-\frac{1.5}{-y-1000}$$

Divide -1.5 by -1000-y.

$$x=\frac{3}{2\left(y+1000\right)}$$

Variable x cannot be equal to 0.

$$x=\frac{3}{2\left(y+1000\right)}\text{, }x\neq 0$$

Solve for y

$$y=-1000+\frac{3}{2x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$1.5+x\left(-1000\right)=yx$$

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

$$yx=1.5+x\left(-1000\right)$$

The equation is in standard form.

$$xy=1.5-1000x$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{1.5-1000x}{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{1.5-1000x}{x}$$

Divide 1.5-1000x by x.

$$y=-1000+\frac{3}{2x}$$