Whakaoti i te 1/a=2-1/bquad[b]

$$\frac { 1 } { a } = 2 - \frac { 1 } { b } \quad [ b ]$$

Whakaoti mō a

$$a=1$$

$$b\neq 0$$

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.

$$b=ab\times 2-a\times 1b$$

Pahekotia te ab\times 2 me -ab, ka ab.

$$b=ab$$

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

$$ab=b$$

He hanga arowhānui tō te whārite.

$$ba=b$$

Whakawehea ngā taha e rua ki te b.

$$\frac{ba}{b}=\frac{b}{b}$$

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

$$a=\frac{b}{b}$$

Whakawehe b ki te b.

$$a=1$$

Whakaoti mō b

$$b\neq 0$$

$$a=1$$

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.

$$b=ab\times 2-a\times 1b$$

Pahekotia te ab\times 2 me -ab, ka ab.

$$b=ab$$

Tangohia te ab mai i ngā taha e rua.

$$b-ab=0$$

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

$$\left(1-a\right)b=0$$

Whakawehe 0 ki te 1-a.

$$b=0$$

Tē taea kia ōrite te tāupe b ki 0.

$$b\in \emptyset$$