Whakaoti i te 4=8xz+6y

$$4=8xz+6y$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=-\frac{3y-2}{4z}\text{, }&z\neq 0\\x\in \mathrm{C}\text{, }&y=\frac{2}{3}\text{ and }z=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$8xz+6y=4$$

Tangohia te 6y mai i ngā taha e rua.

$$8xz=4-6y$$

He hanga arowhānui tō te whārite.

$$8zx=4-6y$$

Whakawehea ngā taha e rua ki te 8z.

$$\frac{8zx}{8z}=\frac{4-6y}{8z}$$

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

$$x=\frac{4-6y}{8z}$$

Whakawehe 4-6y ki te 8z.

$$x=\frac{2-3y}{4z}$$

Whakaoti mō x

$$\left\{\begin{matrix}x=-\frac{3y-2}{4z}\text{, }&z\neq 0\\x\in \mathrm{R}\text{, }&y=\frac{2}{3}\text{ and }z=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$8xz+6y=4$$

Tangohia te 6y mai i ngā taha e rua.

$$8xz=4-6y$$

He hanga arowhānui tō te whārite.

$$8zx=4-6y$$

Whakawehea ngā taha e rua ki te 8z.

$$\frac{8zx}{8z}=\frac{4-6y}{8z}$$

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

$$x=\frac{4-6y}{8z}$$

Whakawehe 4-6y ki te 8z.

$$x=\frac{2-3y}{4z}$$

Whakaoti mō y

$$y=\frac{2-4xz}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$8xz+6y=4$$

Tangohia te 8xz mai i ngā taha e rua.

$$6y=4-8xz$$

Whakawehea ngā taha e rua ki te 6.

$$\frac{6y}{6}=\frac{4-8xz}{6}$$

Mā te whakawehe ki te 6 ka wetekia te whakareanga ki te 6.

$$y=\frac{4-8xz}{6}$$

Whakawehe 4-8xz ki te 6.

$$y=\frac{2-4xz}{3}$$