Whakaoti i te y=x+72-93xdiv24y+4z

$$y=x+72-93x \div 24y+4z$$

Whakaoti mō x

$$\left\{\begin{matrix}x=-\frac{8\left(72+4z-y\right)}{8-31y}\text{, }&y\neq \frac{8}{31}\\x\in \mathrm{R}\text{, }&y=\frac{8}{31}\text{ and }z=-\frac{556}{31}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea te 93x ki te 24, kia riro ko \frac{31}{8}x.

$$y=x+72-\frac{31}{8}xy+4z$$

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

$$x+72-\frac{31}{8}xy+4z=y$$

Tangohia te 72 mai i ngā taha e rua.

$$x-\frac{31}{8}xy+4z=y-72$$

Tangohia te 4z mai i ngā taha e rua.

$$x-\frac{31}{8}xy=y-72-4z$$

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

$$\left(1-\frac{31}{8}y\right)x=y-72-4z$$

He hanga arowhānui tō te whārite.

$$\left(-\frac{31y}{8}+1\right)x=y-4z-72$$

Whakawehea ngā taha e rua ki te 1-\frac{31}{8}y.

$$\frac{\left(-\frac{31y}{8}+1\right)x}{-\frac{31y}{8}+1}=\frac{y-4z-72}{-\frac{31y}{8}+1}$$

Mā te whakawehe ki te 1-\frac{31}{8}y ka wetekia te whakareanga ki te 1-\frac{31}{8}y.

$$x=\frac{y-4z-72}{-\frac{31y}{8}+1}$$

Whakawehe y-72-4z ki te 1-\frac{31}{8}y.

$$x=\frac{8\left(y-4z-72\right)}{8-31y}$$

Whakaoti mō y

$$\left\{\begin{matrix}y=\frac{8\left(x+4z+72\right)}{31x+8}\text{, }&x\neq -\frac{8}{31}\\y\in \mathrm{R}\text{, }&x=-\frac{8}{31}\text{ and }z=-\frac{556}{31}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea te 93x ki te 24, kia riro ko \frac{31}{8}x.

$$y=x+72-\frac{31}{8}xy+4z$$

Me tāpiri te \frac{31}{8}xy ki ngā taha e rua.

$$y+\frac{31}{8}xy=x+72+4z$$

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

$$\left(1+\frac{31}{8}x\right)y=x+72+4z$$

He hanga arowhānui tō te whārite.

$$\left(\frac{31x}{8}+1\right)y=x+4z+72$$

Whakawehea ngā taha e rua ki te 1+\frac{31}{8}x.

$$\frac{\left(\frac{31x}{8}+1\right)y}{\frac{31x}{8}+1}=\frac{x+4z+72}{\frac{31x}{8}+1}$$

Mā te whakawehe ki te 1+\frac{31}{8}x ka wetekia te whakareanga ki te 1+\frac{31}{8}x.

$$y=\frac{x+4z+72}{\frac{31x}{8}+1}$$

Whakawehe x+72+4z ki te 1+\frac{31}{8}x.

$$y=\frac{8\left(x+4z+72\right)}{31x+8}$$