Whakaoti i te 6xy=8xh

$$6 x y = 8 x h$$

Whakaoti mō h (complex solution)

$$\left\{\begin{matrix}\\h=\frac{3y}{4}\text{, }&\text{unconditionally}\\h\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$8xh=6xy$$

Whakawehea ngā taha e rua ki te 8x.

$$\frac{8xh}{8x}=\frac{6xy}{8x}$$

Mā te whakawehe ki te 8x ka wetekia te whakareanga ki te 8x.

$$h=\frac{6xy}{8x}$$

Whakawehe 6xy ki te 8x.

$$h=\frac{3y}{4}$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=\frac{4h}{3}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 8xh mai i ngā taha e rua.

$$6xy-8xh=0$$

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

$$\left(6y-8h\right)x=0$$

Whakawehe 0 ki te 6y-8h.

$$x=0$$

Whakaoti mō h

$$\left\{\begin{matrix}\\h=\frac{3y}{4}\text{, }&\text{unconditionally}\\h\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$8xh=6xy$$

Whakawehea ngā taha e rua ki te 8x.

$$\frac{8xh}{8x}=\frac{6xy}{8x}$$

Mā te whakawehe ki te 8x ka wetekia te whakareanga ki te 8x.

$$h=\frac{6xy}{8x}$$

Whakawehe 6xy ki te 8x.

$$h=\frac{3y}{4}$$

Whakaoti mō x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=\frac{4h}{3}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 8xh mai i ngā taha e rua.

$$6xy-8xh=0$$

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

$$\left(6y-8h\right)x=0$$

Whakawehe 0 ki te 6y-8h.

$$x=0$$