Whakaoti i te 6(x-6)=y(x-z)

$$6(x-6)=y(x-z)$$

Whakaoti mō x

$$\left\{\begin{matrix}x=-\frac{yz-36}{6-y}\text{, }&y\neq 6\\x\in \mathrm{R}\text{, }&z=6\text{ and }y=6\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te x-6.

$$6x-36=y\left(x-z\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te x-z.

$$6x-36=yx-yz$$

Tangohia te yx mai i ngā taha e rua.

$$6x-36-yx=-yz$$

Me tāpiri te 36 ki ngā taha e rua.

$$6x-yx=-yz+36$$

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

$$\left(6-y\right)x=-yz+36$$

He hanga arowhānui tō te whārite.

$$\left(6-y\right)x=36-yz$$

Whakawehea ngā taha e rua ki te -y+6.

$$\frac{\left(6-y\right)x}{6-y}=\frac{36-yz}{6-y}$$

Mā te whakawehe ki te -y+6 ka wetekia te whakareanga ki te -y+6.

$$x=\frac{36-yz}{6-y}$$

Whakaoti mō y

$$\left\{\begin{matrix}y=\frac{6\left(x-6\right)}{x-z}\text{, }&x\neq z\\y\in \mathrm{R}\text{, }&x=6\text{ and }z=6\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te x-6.

$$6x-36=y\left(x-z\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te x-z.

$$6x-36=yx-yz$$

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

$$yx-yz=6x-36$$

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

$$\left(x-z\right)y=6x-36$$

Whakawehea ngā taha e rua ki te x-z.

$$\frac{\left(x-z\right)y}{x-z}=\frac{6x-36}{x-z}$$

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

$$y=\frac{6x-36}{x-z}$$

Whakawehe -36+6x ki te x-z.

$$y=\frac{6\left(x-6\right)}{x-z}$$