Whakaoti i te y=alpha+betax+u

$$y = \alpha + \beta x + u$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=-\frac{\alpha +u-y}{\beta }\text{, }&\beta \neq 0\\x\in \mathrm{C}\text{, }&y=u+\alpha \text{ and }\beta =0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$\alpha +\beta x+u=y$$

Tangohia te \alpha mai i ngā taha e rua.

$$\beta x+u=y-\alpha$$

Tangohia te u mai i ngā taha e rua.

$$\beta x=y-\alpha -u$$

He hanga arowhānui tō te whārite.

$$\beta x=y-u-\alpha$$

Whakawehea ngā taha e rua ki te \beta .

$$\frac{\beta x}{\beta }=\frac{y-u-\alpha }{\beta }$$

Mā te whakawehe ki te \beta ka wetekia te whakareanga ki te \beta .

$$x=\frac{y-u-\alpha }{\beta }$$

Whakaoti mō u

$$u=-x\beta +y-\alpha$$

Ngā Upane Otinga

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

$$\alpha +\beta x+u=y$$

Tangohia te \alpha mai i ngā taha e rua.

$$\beta x+u=y-\alpha$$

Tangohia te \beta x mai i ngā taha e rua.

$$u=y-\alpha -\beta x$$

Whakaoti mō x

$$\left\{\begin{matrix}x=-\frac{\alpha +u-y}{\beta }\text{, }&\beta \neq 0\\x\in \mathrm{R}\text{, }&y=u+\alpha \text{ and }\beta =0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$\alpha +\beta x+u=y$$

Tangohia te \alpha mai i ngā taha e rua.

$$\beta x+u=y-\alpha$$

Tangohia te u mai i ngā taha e rua.

$$\beta x=y-\alpha -u$$

He hanga arowhānui tō te whārite.

$$\beta x=y-u-\alpha$$

Whakawehea ngā taha e rua ki te \beta .

$$\frac{\beta x}{\beta }=\frac{y-u-\alpha }{\beta }$$

Mā te whakawehe ki te \beta ka wetekia te whakareanga ki te \beta .

$$x=\frac{y-u-\alpha }{\beta }$$