Whakaoti i te y=2x-3/x+1

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

Whakaoti mō x

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

$$y\neq 2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -1 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x+1.

$$y\left(x+1\right)=2x-3$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te x+1.

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

Tangohia te 2x mai i ngā taha e rua.

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

Tangohia te y mai i ngā taha e rua.

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

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

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

He hanga arowhānui tō te whārite.

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

Whakawehea ngā taha e rua ki te y-2.

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

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

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

Whakawehe -3-y ki te y-2.

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

Tē taea kia ōrite te tāupe x ki -1.

$$x=-\frac{y+3}{y-2}\text{, }x\neq -1$$

Whakaoti mō y

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

$$x\neq -1$$