Whakaoti i te y=3x-2/5x-6

$$y = \frac { 3 x - 2 } { 5 x - 6 }$$

Whakaoti mō x

$$x=-\frac{2\left(1-3y\right)}{5y-3}$$

$$y\neq \frac{3}{5}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki \frac{6}{5} nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te 5x-6.

$$y\left(5x-6\right)=3x-2$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te 5x-6.

$$5yx-6y=3x-2$$

Tangohia te 3x mai i ngā taha e rua.

$$5yx-6y-3x=-2$$

Me tāpiri te 6y ki ngā taha e rua.

$$5yx-3x=-2+6y$$

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

$$\left(5y-3\right)x=-2+6y$$

He hanga arowhānui tō te whārite.

$$\left(5y-3\right)x=6y-2$$

Whakawehea ngā taha e rua ki te 5y-3.

$$\frac{\left(5y-3\right)x}{5y-3}=\frac{6y-2}{5y-3}$$

Mā te whakawehe ki te 5y-3 ka wetekia te whakareanga ki te 5y-3.

$$x=\frac{6y-2}{5y-3}$$

Whakawehe -2+6y ki te 5y-3.

$$x=\frac{2\left(3y-1\right)}{5y-3}$$

Tē taea kia ōrite te tāupe x ki \frac{6}{5}.

$$x=\frac{2\left(3y-1\right)}{5y-3}\text{, }x\neq \frac{6}{5}$$

Whakaoti mō y

$$y=-\frac{2-3x}{5x-6}$$

$$x\neq \frac{6}{5}$$