Whakaoti i te 5-a=b(2)*46(5a)

$$5 - a = b ( 2 ) \times 46 ( 5 a )$$

Whakaoti mō a

$$a=\frac{5}{460b+1}$$

$$b\neq -\frac{1}{460}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 2 ki te 46, ka 92.

$$5-a=b\times 92\times 5a$$

Whakareatia te 92 ki te 5, ka 460.

$$5-a=b\times 460a$$

Tangohia te b\times 460a mai i ngā taha e rua.

$$5-a-b\times 460a=0$$

Whakareatia te -1 ki te 460, ka -460.

$$5-a-460ba=0$$

Tangohia te 5 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-a-460ba=-5$$

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

$$\left(-1-460b\right)a=-5$$

He hanga arowhānui tō te whārite.

$$\left(-460b-1\right)a=-5$$

Whakawehea ngā taha e rua ki te -1-460b.

$$\frac{\left(-460b-1\right)a}{-460b-1}=-\frac{5}{-460b-1}$$

Mā te whakawehe ki te -1-460b ka wetekia te whakareanga ki te -1-460b.

$$a=-\frac{5}{-460b-1}$$

Whakawehe -5 ki te -1-460b.

$$a=\frac{5}{460b+1}$$

Whakaoti mō b

$$b=-\frac{1}{460}+\frac{1}{92a}$$

$$a\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 2 ki te 46, ka 92.

$$5-a=b\times 92\times 5a$$

Whakareatia te 92 ki te 5, ka 460.

$$5-a=b\times 460a$$

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

$$b\times 460a=5-a$$

He hanga arowhānui tō te whārite.

$$460ab=5-a$$

Whakawehea ngā taha e rua ki te 460a.

$$\frac{460ab}{460a}=\frac{5-a}{460a}$$

Mā te whakawehe ki te 460a ka wetekia te whakareanga ki te 460a.

$$b=\frac{5-a}{460a}$$

Whakawehe 5-a ki te 460a.

$$b=-\frac{1}{460}+\frac{1}{92a}$$