Solve y=-b/x

$$y = - \frac { b } { x }$$

Solve for b

$$b=-xy$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$yx=-b$$

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

$$-b=yx$$

The equation is in standard form.

$$-b=xy$$

Divide both sides by -1.

$$\frac{-b}{-1}=\frac{xy}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$b=\frac{xy}{-1}$$

Divide yx by -1.

$$b=-xy$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{b}{y}\text{, }&b\neq 0\text{ and }y\neq 0\\x\neq 0\text{, }&y=0\text{ and }b=0\end{matrix}\right.$$

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.

$$yx=-b$$

Divide both sides by y.

$$\frac{yx}{y}=-\frac{b}{y}$$

Dividing by y undoes the multiplication by y.

$$x=-\frac{b}{y}$$

Variable x cannot be equal to 0.

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