Whakaoti i te y=2u/3-u

$$y = \frac { 2 u } { 3 - u }$$

Whakaoti mō u

$$u=\frac{3y}{y+2}$$

$$y\neq -2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe u ki 3 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te -u+3.

$$y\left(-u+3\right)=2u$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te -u+3.

$$-yu+3y=2u$$

Tangohia te 2u mai i ngā taha e rua.

$$-yu+3y-2u=0$$

Tangohia te 3y mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-yu-2u=-3y$$

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

$$\left(-y-2\right)u=-3y$$

Whakawehea ngā taha e rua ki te -y-2.

$$\frac{\left(-y-2\right)u}{-y-2}=-\frac{3y}{-y-2}$$

Mā te whakawehe ki te -y-2 ka wetekia te whakareanga ki te -y-2.

$$u=-\frac{3y}{-y-2}$$

Whakawehe -3y ki te -y-2.

$$u=\frac{3y}{y+2}$$

Tē taea kia ōrite te tāupe u ki 3.

$$u=\frac{3y}{y+2}\text{, }u\neq 3$$

Whakaoti mō y

$$y=\frac{2u}{3-u}$$

$$u\neq 3$$