Whakaoti i te x/a=y/bquad

$$\frac { x } { a } = \frac { y } { b } \quad$$

Whakaoti mō a

$$\left\{\begin{matrix}a=\frac{bx}{y}\text{, }&b\neq 0\text{ and }x\neq 0\text{ and }y\neq 0\\a\neq 0\text{, }&y=0\text{ and }x=0\text{ and }b\neq 0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe a ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te ab, arā, te tauraro pātahi he tino iti rawa te kitea o a,b.

$$bx=ay$$

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

$$ay=bx$$

He hanga arowhānui tō te whārite.

$$ya=bx$$

Whakawehea ngā taha e rua ki te y.

$$\frac{ya}{y}=\frac{bx}{y}$$

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

$$a=\frac{bx}{y}$$

Tē taea kia ōrite te tāupe a ki 0.

$$a=\frac{bx}{y}\text{, }a\neq 0$$

Whakaoti mō b

$$\left\{\begin{matrix}b=\frac{ay}{x}\text{, }&y\neq 0\text{ and }a\neq 0\text{ and }x\neq 0\\b\neq 0\text{, }&x=0\text{ and }y=0\text{ and }a\neq 0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe b ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te ab, arā, te tauraro pātahi he tino iti rawa te kitea o a,b.

$$bx=ay$$

He hanga arowhānui tō te whārite.

$$xb=ay$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xb}{x}=\frac{ay}{x}$$

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

$$b=\frac{ay}{x}$$

Tē taea kia ōrite te tāupe b ki 0.

$$b=\frac{ay}{x}\text{, }b\neq 0$$