Whakaoti i te 9x-2/y=3

$$9 x - \frac { 2 } { y } = 3$$

Whakaoti mō x

$$x=\frac{1}{3}+\frac{2}{9y}$$

$$y\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te y.

$$9xy-2=3y$$

Me tāpiri te 2 ki ngā taha e rua.

$$9xy=3y+2$$

He hanga arowhānui tō te whārite.

$$9yx=3y+2$$

Whakawehea ngā taha e rua ki te 9y.

$$\frac{9yx}{9y}=\frac{3y+2}{9y}$$

Mā te whakawehe ki te 9y ka wetekia te whakareanga ki te 9y.

$$x=\frac{3y+2}{9y}$$

Whakawehe 3y+2 ki te 9y.

$$x=\frac{1}{3}+\frac{2}{9y}$$

Whakaoti mō y

$$y=-\frac{2}{3\left(1-3x\right)}$$

$$x\neq \frac{1}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe y ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te y.

$$9xy-2=3y$$

Tangohia te 3y mai i ngā taha e rua.

$$9xy-2-3y=0$$

Me tāpiri te 2 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$9xy-3y=2$$

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

$$\left(9x-3\right)y=2$$

Whakawehea ngā taha e rua ki te 9x-3.

$$\frac{\left(9x-3\right)y}{9x-3}=\frac{2}{9x-3}$$

Mā te whakawehe ki te 9x-3 ka wetekia te whakareanga ki te 9x-3.

$$y=\frac{2}{9x-3}$$

Whakawehe 2 ki te 9x-3.

$$y=\frac{2}{3\left(3x-1\right)}$$

Tē taea kia ōrite te tāupe y ki 0.

$$y=\frac{2}{3\left(3x-1\right)}\text{, }y\neq 0$$