Whakaoti i te b+3a-6=(ab-2b)+(3a-6

$$b + 3 a - 6 = ( a b - 2 b ) + ( 3 a - 6$$

Whakaoti mō a

$$\left\{\begin{matrix}\\a=3\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&b=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te ab mai i ngā taha e rua.

$$b+3a-6-ab=-2b+3a-6$$

Tangohia te 3a mai i ngā taha e rua.

$$b+3a-6-ab-3a=-2b-6$$

Pahekotia te 3a me -3a, ka 0.

$$b-6-ab=-2b-6$$

Tangohia te b mai i ngā taha e rua.

$$-6-ab=-2b-6-b$$

Pahekotia te -2b me -b, ka -3b.

$$-6-ab=-3b-6$$

Me tāpiri te 6 ki ngā taha e rua.

$$-ab=-3b-6+6$$

Tāpirihia te -6 ki te 6, ka 0.

$$-ab=-3b$$

He hanga arowhānui tō te whārite.

$$\left(-b\right)a=-3b$$

Whakawehea ngā taha e rua ki te -b.

$$\frac{\left(-b\right)a}{-b}=-\frac{3b}{-b}$$

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

$$a=-\frac{3b}{-b}$$

Whakawehe -3b ki te -b.

$$a=3$$

Whakaoti mō b

$$\left\{\begin{matrix}\\b=0\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&a=3\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te ab mai i ngā taha e rua.

$$b+3a-6-ab=-2b+3a-6$$

Me tāpiri te 2b ki ngā taha e rua.

$$b+3a-6-ab+2b=3a-6$$

Pahekotia te b me 2b, ka 3b.

$$3b+3a-6-ab=3a-6$$

Tangohia te 3a mai i ngā taha e rua.

$$3b-6-ab=3a-6-3a$$

Pahekotia te 3a me -3a, ka 0.

$$3b-6-ab=-6$$

Me tāpiri te 6 ki ngā taha e rua.

$$3b-ab=-6+6$$

Tāpirihia te -6 ki te 6, ka 0.

$$3b-ab=0$$

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

$$\left(3-a\right)b=0$$

Whakawehe 0 ki te 3-a.

$$b=0$$