Solve Matrix

$$\left. \begin{array} { l } { \text { the hyperbola } x y = 1 \text { , then } } \\ { \left. \begin{array} { l l } { \text { 1) } a > 0 , b < 0 } & { \text { 2) } a > 0 , b } \\ { \text { 3) } a < 0 , b < 0 } & { \text { 4) } a = 0 , b } \end{array} \right. } \end{array} \right.$$

Solve for x

$$x=\frac{1}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$yx=1$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{1}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{1}{y}$$