Whakaoti i te 4a=4a-3ab+4b

$$4 a = 4 a - 3 a b + 4 b$$

Whakaoti mō a

$$\left\{\begin{matrix}\\a=\frac{4}{3}\approx 1.333333333\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&b=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 4a mai i ngā taha e rua.

$$4a-4a=-3ab+4b$$

Pahekotia te 4a me -4a, ka 0.

$$0=-3ab+4b$$

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

$$-3ab+4b=0$$

Tangohia te 4b mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-3ab=-4b$$

He hanga arowhānui tō te whārite.

$$\left(-3b\right)a=-4b$$

Whakawehea ngā taha e rua ki te -3b.

$$\frac{\left(-3b\right)a}{-3b}=-\frac{4b}{-3b}$$

Mā te whakawehe ki te -3b ka wetekia te whakareanga ki te -3b.

$$a=-\frac{4b}{-3b}$$

Whakawehe -4b ki te -3b.

$$a=\frac{4}{3}$$

Whakaoti mō b

$$\left\{\begin{matrix}\\b=0\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&a=\frac{4}{3}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$4a-3ab+4b=4a$$

Tangohia te 4a mai i ngā taha e rua.

$$-3ab+4b=4a-4a$$

Pahekotia te 4a me -4a, ka 0.

$$-3ab+4b=0$$

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

$$\left(-3a+4\right)b=0$$

He hanga arowhānui tō te whārite.

$$\left(4-3a\right)b=0$$

Whakawehe 0 ki te -3a+4.

$$b=0$$