Whakaoti i te 3xz+2xy=3xz-48x

$$3 x z + 2 x y = 3 x z - 48 x$$

Whakaoti mō x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=-24\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 3xz mai i ngā taha e rua.

$$3xz+2xy-3xz=-48x$$

Pahekotia te 3xz me -3xz, ka 0.

$$2xy=-48x$$

Me tāpiri te 48x ki ngā taha e rua.

$$2xy+48x=0$$

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

$$\left(2y+48\right)x=0$$

Whakawehe 0 ki te 2y+48.

$$x=0$$

Whakaoti mō y

$$\left\{\begin{matrix}\\y=-24\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 3xz mai i ngā taha e rua.

$$2xy=3xz-48x-3xz$$

Pahekotia te 3xz me -3xz, ka 0.

$$2xy=-48x$$

Whakawehea ngā taha e rua ki te 2x.

$$\frac{2xy}{2x}=-\frac{48x}{2x}$$

Mā te whakawehe ki te 2x ka wetekia te whakareanga ki te 2x.

$$y=-\frac{48x}{2x}$$

Whakawehe -48x ki te 2x.

$$y=-24$$