Whakaoti i te y=4xy

$$y=4xy$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}\\x=\frac{1}{4}=0.25\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$4xy=y$$

He hanga arowhānui tō te whārite.

$$4yx=y$$

Whakawehea ngā taha e rua ki te 4y.

$$\frac{4yx}{4y}=\frac{y}{4y}$$

Mā te whakawehe ki te 4y ka wetekia te whakareanga ki te 4y.

$$x=\frac{y}{4y}$$

Whakawehe y ki te 4y.

$$x=\frac{1}{4}$$

Whakaoti mō y (complex solution)

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=\frac{1}{4}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 4xy mai i ngā taha e rua.

$$y-4xy=0$$

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

$$\left(1-4x\right)y=0$$

Whakawehe 0 ki te 1-4x.

$$y=0$$

Whakaoti mō x

$$\left\{\begin{matrix}\\x=\frac{1}{4}=0.25\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$4xy=y$$

He hanga arowhānui tō te whārite.

$$4yx=y$$

Whakawehea ngā taha e rua ki te 4y.

$$\frac{4yx}{4y}=\frac{y}{4y}$$

Mā te whakawehe ki te 4y ka wetekia te whakareanga ki te 4y.

$$x=\frac{y}{4y}$$

Whakawehe y ki te 4y.

$$x=\frac{1}{4}$$

Whakaoti mō y

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=\frac{1}{4}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 4xy mai i ngā taha e rua.

$$y-4xy=0$$

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

$$\left(1-4x\right)y=0$$

Whakawehe 0 ki te 1-4x.

$$y=0$$