Whakaoti i te 5z5y=5x15z^2

$$5z5y=5x15 { z }^{ 2 }$$

Whakaoti mō x_15

$$\left\{\begin{matrix}x_{15}=\frac{yz_{5}}{z^{2}}\text{, }&z\neq 0\\x_{15}\in \mathrm{R}\text{, }&\left(z_{5}=0\text{ or }y=0\right)\text{ and }z=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakakore te 5 ki ngā taha e rua.

$$z_{5}y=x_{15}z^{2}$$

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

$$x_{15}z^{2}=z_{5}y$$

He hanga arowhānui tō te whārite.

$$z^{2}x_{15}=yz_{5}$$

Whakawehea ngā taha e rua ki te z^{2}.

$$\frac{z^{2}x_{15}}{z^{2}}=\frac{yz_{5}}{z^{2}}$$

Mā te whakawehe ki te z^{2} ka wetekia te whakareanga ki te z^{2}.

$$x_{15}=\frac{yz_{5}}{z^{2}}$$

Whakaoti mō y

$$\left\{\begin{matrix}y=\frac{x_{15}z^{2}}{z_{5}}\text{, }&z_{5}\neq 0\\y\in \mathrm{R}\text{, }&\left(x_{15}=0\text{ or }z=0\right)\text{ and }z_{5}=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakakore te 5 ki ngā taha e rua.

$$z_{5}y=x_{15}z^{2}$$

Whakawehea ngā taha e rua ki te z_{5}.

$$\frac{z_{5}y}{z_{5}}=\frac{x_{15}z^{2}}{z_{5}}$$

Mā te whakawehe ki te z_{5} ka wetekia te whakareanga ki te z_{5}.

$$y=\frac{x_{15}z^{2}}{z_{5}}$$