Whakaoti i te (509)(u)=f(9(u))

$$( 509 ) ( u ) = f ( 9 ( u ) )$$

Whakaoti mō f

$$\left\{\begin{matrix}\\f=\frac{509}{9}\approx 56.555555556\text{, }&\text{unconditionally}\\f\in \mathrm{R}\text{, }&u=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$f\times 9u=509u$$

He hanga arowhānui tō te whārite.

$$9uf=509u$$

Whakawehea ngā taha e rua ki te 9u.

$$\frac{9uf}{9u}=\frac{509u}{9u}$$

Mā te whakawehe ki te 9u ka wetekia te whakareanga ki te 9u.

$$f=\frac{509u}{9u}$$

Whakawehe 509u ki te 9u.

$$f=\frac{509}{9}$$

Whakaoti mō u

$$\left\{\begin{matrix}\\u=0\text{, }&\text{unconditionally}\\u\in \mathrm{R}\text{, }&f=\frac{509}{9}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te f\times 9u mai i ngā taha e rua.

$$509u-f\times 9u=0$$

Whakareatia te -1 ki te 9, ka -9.

$$509u-9fu=0$$

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

$$\left(509-9f\right)u=0$$

Whakawehe 0 ki te 509-9f.

$$u=0$$