Whakaoti i te 3x=7xy

$$3 x = 7 x y$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=\frac{3}{7}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 7xy mai i ngā taha e rua.

$$3x-7xy=0$$

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

$$\left(3-7y\right)x=0$$

Whakawehe 0 ki te 3-7y.

$$x=0$$

Whakaoti mō y (complex solution)

$$\left\{\begin{matrix}\\y=\frac{3}{7}\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$7xy=3x$$

Whakawehea ngā taha e rua ki te 7x.

$$\frac{7xy}{7x}=\frac{3x}{7x}$$

Mā te whakawehe ki te 7x ka wetekia te whakareanga ki te 7x.

$$y=\frac{3x}{7x}$$

Whakawehe 3x ki te 7x.

$$y=\frac{3}{7}$$

Whakaoti mō x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=\frac{3}{7}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 7xy mai i ngā taha e rua.

$$3x-7xy=0$$

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

$$\left(3-7y\right)x=0$$

Whakawehe 0 ki te 3-7y.

$$x=0$$

Whakaoti mō y

$$\left\{\begin{matrix}\\y=\frac{3}{7}\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$7xy=3x$$

Whakawehea ngā taha e rua ki te 7x.

$$\frac{7xy}{7x}=\frac{3x}{7x}$$

Mā te whakawehe ki te 7x ka wetekia te whakareanga ki te 7x.

$$y=\frac{3x}{7x}$$

Whakawehe 3x ki te 7x.

$$y=\frac{3}{7}$$