Whakaoti i te yx-z-4x=3

$$yx-z-4x=3$$

Whakaoti mō x

$$\left\{\begin{matrix}x=\frac{z+3}{y-4}\text{, }&y\neq 4\\x\in \mathrm{R}\text{, }&z=-3\text{ and }y=4\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te z ki ngā taha e rua.

$$yx-4x=3+z$$

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

$$\left(y-4\right)x=3+z$$

He hanga arowhānui tō te whārite.

$$\left(y-4\right)x=z+3$$

Whakawehea ngā taha e rua ki te y-4.

$$\frac{\left(y-4\right)x}{y-4}=\frac{z+3}{y-4}$$

Mā te whakawehe ki te y-4 ka wetekia te whakareanga ki te y-4.

$$x=\frac{z+3}{y-4}$$

Whakaoti mō y

$$\left\{\begin{matrix}y=\frac{4x+z+3}{x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&x=0\text{ and }z=-3\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te z ki ngā taha e rua.

$$yx-4x=3+z$$

Me tāpiri te 4x ki ngā taha e rua.

$$yx=3+z+4x$$

He hanga arowhānui tō te whārite.

$$xy=4x+z+3$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xy}{x}=\frac{4x+z+3}{x}$$

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

$$y=\frac{4x+z+3}{x}$$