Whakaoti i te y=xy

$$y=xy$$

Whakaoti mō x (complex solution)

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

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$xy=y$$

He hanga arowhānui tō te whārite.

$$yx=y$$

Whakawehea ngā taha e rua ki te y.

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

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

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

Whakawehe y ki te y.

$$x=1$$

Whakaoti mō y (complex solution)

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te xy mai i ngā taha e rua.

$$y-xy=0$$

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

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

Whakawehe 0 ki te 1-x.

$$y=0$$

Whakaoti mō x

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

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$xy=y$$

He hanga arowhānui tō te whārite.

$$yx=y$$

Whakawehea ngā taha e rua ki te y.

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

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

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

Whakawehe y ki te y.

$$x=1$$

Whakaoti mō y

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te xy mai i ngā taha e rua.

$$y-xy=0$$

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

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

Whakawehe 0 ki te 1-x.

$$y=0$$