Whakaoti i te 32x=(x+3x)y

$$32x=(x+3x)y$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=8\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te x me 3x, ka 4x.

$$32x=4xy$$

Tangohia te 4xy mai i ngā taha e rua.

$$32x-4xy=0$$

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

$$\left(32-4y\right)x=0$$

Whakawehe 0 ki te 32-4y.

$$x=0$$

Whakaoti mō y (complex solution)

$$\left\{\begin{matrix}\\y=8\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te x me 3x, ka 4x.

$$32x=4xy$$

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

$$4xy=32x$$

Whakawehea ngā taha e rua ki te 4x.

$$\frac{4xy}{4x}=\frac{32x}{4x}$$

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

$$y=\frac{32x}{4x}$$

Whakawehe 32x ki te 4x.

$$y=8$$

Whakaoti mō x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=8\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te x me 3x, ka 4x.

$$32x=4xy$$

Tangohia te 4xy mai i ngā taha e rua.

$$32x-4xy=0$$

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

$$\left(32-4y\right)x=0$$

Whakawehe 0 ki te 32-4y.

$$x=0$$

Whakaoti mō y

$$\left\{\begin{matrix}\\y=8\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te x me 3x, ka 4x.

$$32x=4xy$$

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

$$4xy=32x$$

Whakawehea ngā taha e rua ki te 4x.

$$\frac{4xy}{4x}=\frac{32x}{4x}$$

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

$$y=\frac{32x}{4x}$$

Whakawehe 32x ki te 4x.

$$y=8$$