Whakaoti i te x=xy

$$x=xy$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=1\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te xy mai i ngā taha e rua.

$$x-xy=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(1-y\right)x=0$$

Whakawehe 0 ki te 1-y.

$$x=0$$

Whakaoti mō y (complex solution)

$$\left\{\begin{matrix}\\y=1\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$xy=x$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xy}{x}=\frac{x}{x}$$

Mā te whakawehe ki te x ka wetekia te whakareanga ki te x.

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

Whakawehe x ki te x.

$$y=1$$

Whakaoti mō x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=1\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te xy mai i ngā taha e rua.

$$x-xy=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(1-y\right)x=0$$

Whakawehe 0 ki te 1-y.

$$x=0$$

Whakaoti mō y

$$\left\{\begin{matrix}\\y=1\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$xy=x$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xy}{x}=\frac{x}{x}$$

Mā te whakawehe ki te x ka wetekia te whakareanga ki te x.

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

Whakawehe x ki te x.

$$y=1$$