Whakaoti i te xy=z(2-y)

$$xy=z(2-y)$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=-\frac{z\left(y-2\right)}{y}\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&z=0\text{ and }y=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te z ki te 2-y.

$$xy=2z-zy$$

He hanga arowhānui tō te whārite.

$$yx=2z-yz$$

Whakawehea ngā taha e rua ki te y.

$$\frac{yx}{y}=\frac{z\left(2-y\right)}{y}$$

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

$$x=\frac{z\left(2-y\right)}{y}$$

Whakaoti mō y (complex solution)

$$\left\{\begin{matrix}y=\frac{2z}{x+z}\text{, }&x\neq -z\\y\in \mathrm{C}\text{, }&z=0\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te z ki te 2-y.

$$xy=2z-zy$$

Me tāpiri te zy ki ngā taha e rua.

$$xy+zy=2z$$

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

$$\left(x+z\right)y=2z$$

Whakawehea ngā taha e rua ki te x+z.

$$\frac{\left(x+z\right)y}{x+z}=\frac{2z}{x+z}$$

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

$$y=\frac{2z}{x+z}$$

Whakaoti mō x

$$\left\{\begin{matrix}x=-\frac{z\left(y-2\right)}{y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&z=0\text{ and }y=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te z ki te 2-y.

$$xy=2z-zy$$

He hanga arowhānui tō te whārite.

$$yx=2z-yz$$

Whakawehea ngā taha e rua ki te y.

$$\frac{yx}{y}=\frac{z\left(2-y\right)}{y}$$

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

$$x=\frac{z\left(2-y\right)}{y}$$

Whakaoti mō y

$$\left\{\begin{matrix}y=\frac{2z}{x+z}\text{, }&x\neq -z\\y\in \mathrm{R}\text{, }&z=0\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te z ki te 2-y.

$$xy=2z-zy$$

Me tāpiri te zy ki ngā taha e rua.

$$xy+zy=2z$$

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

$$\left(x+z\right)y=2z$$

Whakawehea ngā taha e rua ki te x+z.

$$\frac{\left(x+z\right)y}{x+z}=\frac{2z}{x+z}$$

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

$$y=\frac{2z}{x+z}$$