Whakaoti i te 2g(x-2)=3f(x-2)

$$2 g ( x - 2 ) = 3 f ( x - 2 )$$

Whakaoti mō f (complex solution)

$$\left\{\begin{matrix}\\f=\frac{2g}{3}\text{, }&\text{unconditionally}\\f\in \mathrm{C}\text{, }&x=2\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2g ki te x-2.

$$2gx-4g=3f\left(x-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3f ki te x-2.

$$2gx-4g=3fx-6f$$

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

$$3fx-6f=2gx-4g$$

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

$$\left(3x-6\right)f=2gx-4g$$

Whakawehea ngā taha e rua ki te 3x-6.

$$\frac{\left(3x-6\right)f}{3x-6}=\frac{2g\left(x-2\right)}{3x-6}$$

Mā te whakawehe ki te 3x-6 ka wetekia te whakareanga ki te 3x-6.

$$f=\frac{2g\left(x-2\right)}{3x-6}$$

Whakawehe 2g\left(-2+x\right) ki te 3x-6.

$$f=\frac{2g}{3}$$

Whakaoti mō g (complex solution)

$$\left\{\begin{matrix}\\g=\frac{3f}{2}\text{, }&\text{unconditionally}\\g\in \mathrm{C}\text{, }&x=2\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2g ki te x-2.

$$2gx-4g=3f\left(x-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3f ki te x-2.

$$2gx-4g=3fx-6f$$

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

$$\left(2x-4\right)g=3fx-6f$$

Whakawehea ngā taha e rua ki te 2x-4.

$$\frac{\left(2x-4\right)g}{2x-4}=\frac{3f\left(x-2\right)}{2x-4}$$

Mā te whakawehe ki te 2x-4 ka wetekia te whakareanga ki te 2x-4.

$$g=\frac{3f\left(x-2\right)}{2x-4}$$

Whakawehe 3f\left(-2+x\right) ki te 2x-4.

$$g=\frac{3f}{2}$$

Whakaoti mō f

$$\left\{\begin{matrix}\\f=\frac{2g}{3}\text{, }&\text{unconditionally}\\f\in \mathrm{R}\text{, }&x=2\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2g ki te x-2.

$$2gx-4g=3f\left(x-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3f ki te x-2.

$$2gx-4g=3fx-6f$$

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

$$3fx-6f=2gx-4g$$

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

$$\left(3x-6\right)f=2gx-4g$$

Whakawehea ngā taha e rua ki te 3x-6.

$$\frac{\left(3x-6\right)f}{3x-6}=\frac{2g\left(x-2\right)}{3x-6}$$

Mā te whakawehe ki te 3x-6 ka wetekia te whakareanga ki te 3x-6.

$$f=\frac{2g\left(x-2\right)}{3x-6}$$

Whakawehe 2g\left(-2+x\right) ki te 3x-6.

$$f=\frac{2g}{3}$$

Whakaoti mō g

$$\left\{\begin{matrix}\\g=\frac{3f}{2}\text{, }&\text{unconditionally}\\g\in \mathrm{R}\text{, }&x=2\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2g ki te x-2.

$$2gx-4g=3f\left(x-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3f ki te x-2.

$$2gx-4g=3fx-6f$$

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

$$\left(2x-4\right)g=3fx-6f$$

Whakawehea ngā taha e rua ki te 2x-4.

$$\frac{\left(2x-4\right)g}{2x-4}=\frac{3f\left(x-2\right)}{2x-4}$$

Mā te whakawehe ki te 2x-4 ka wetekia te whakareanga ki te 2x-4.

$$g=\frac{3f\left(x-2\right)}{2x-4}$$

Whakawehe 3f\left(-2+x\right) ki te 2x-4.

$$g=\frac{3f}{2}$$