Whakaoti i te 16z+29z=pz-v

$$16 z + 29 z = p z - v$$

Whakaoti mō p

$$\left\{\begin{matrix}p=\frac{v}{z}+45\text{, }&z\neq 0\\p\in \mathrm{R}\text{, }&z=0\text{ and }v=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te 16z me 29z, ka 45z.

$$45z=pz-v$$

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

$$pz-v=45z$$

Me tāpiri te v ki ngā taha e rua.

$$pz=45z+v$$

He hanga arowhānui tō te whārite.

$$zp=45z+v$$

Whakawehea ngā taha e rua ki te z.

$$\frac{zp}{z}=\frac{45z+v}{z}$$

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

$$p=\frac{45z+v}{z}$$

Whakawehe 45z+v ki te z.

$$p=\frac{v}{z}+45$$

Whakaoti mō v

$$v=z\left(p-45\right)$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te 16z me 29z, ka 45z.

$$45z=pz-v$$

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

$$pz-v=45z$$

Tangohia te pz mai i ngā taha e rua.

$$-v=45z-pz$$

Whakawehea ngā taha e rua ki te -1.

$$\frac{-v}{-1}=\frac{z\left(45-p\right)}{-1}$$

Mā te whakawehe ki te -1 ka wetekia te whakareanga ki te -1.

$$v=\frac{z\left(45-p\right)}{-1}$$

Whakawehe z\left(45-p\right) ki te -1.

$$v=pz-45z$$