Whakaoti i te m+x/n=p

$$m + \frac { x } { n } = p$$

Whakaoti mō m

$$m=p-\frac{x}{n}$$

$$n\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te n.

$$nm+x=pn$$

Tangohia te x mai i ngā taha e rua.

$$nm=pn-x$$

He hanga arowhānui tō te whārite.

$$nm=np-x$$

Whakawehea ngā taha e rua ki te n.

$$\frac{nm}{n}=\frac{np-x}{n}$$

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

$$m=\frac{np-x}{n}$$

Whakawehe pn-x ki te n.

$$m=p-\frac{x}{n}$$

Whakaoti mō n

$$\left\{\begin{matrix}n=-\frac{x}{m-p}\text{, }&x\neq 0\text{ and }m\neq p\\n\neq 0\text{, }&m=p\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe n ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te n.

$$nm+x=pn$$

Tangohia te pn mai i ngā taha e rua.

$$nm+x-pn=0$$

Tangohia te x mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$nm-pn=-x$$

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

$$\left(m-p\right)n=-x$$

Whakawehea ngā taha e rua ki te m-p.

$$\frac{\left(m-p\right)n}{m-p}=-\frac{x}{m-p}$$

Mā te whakawehe ki te m-p ka wetekia te whakareanga ki te m-p.

$$n=-\frac{x}{m-p}$$

Tē taea kia ōrite te tāupe n ki 0.

$$n=-\frac{x}{m-p}\text{, }n\neq 0$$