Whakaoti i te y=-2x/x-6+1

$$y = \frac { - 2 x } { x - 6 } + 1$$

Whakaoti mō x

$$x=-\frac{6\left(1-y\right)}{y+1}$$

$$y\neq -1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

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

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

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

Pahekotia te -2x me x, ka -x.

$$yx-6y=-x-6$$

Me tāpiri te x ki ngā taha e rua.

$$yx-6y+x=-6$$

Me tāpiri te 6y ki ngā taha e rua.

$$yx+x=-6+6y$$

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

$$\left(y+1\right)x=-6+6y$$

He hanga arowhānui tō te whārite.

$$\left(y+1\right)x=6y-6$$

Whakawehea ngā taha e rua ki te y+1.

$$\frac{\left(y+1\right)x}{y+1}=\frac{6y-6}{y+1}$$

Mā te whakawehe ki te y+1 ka wetekia te whakareanga ki te y+1.

$$x=\frac{6y-6}{y+1}$$

Whakawehe -6+6y ki te y+1.

$$x=\frac{6\left(y-1\right)}{y+1}$$

Tē taea kia ōrite te tāupe x ki 6.

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

Whakaoti mō y

$$y=-\frac{x+6}{x-6}$$

$$x\neq 6$$