Whakaoti i te y=x+5/x-1

$$y = \frac { x + 5 } { x - 1 }$$

Whakaoti mō x

$$x=\frac{y+5}{y-1}$$

$$y\neq 1$$

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.

$$y\left(x-1\right)=x+5$$

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

$$yx-y=x+5$$

Tangohia te x mai i ngā taha e rua.

$$yx-y-x=5$$

Me tāpiri te y ki ngā taha e rua.

$$yx-x=5+y$$

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

$$\left(y-1\right)x=5+y$$

He hanga arowhānui tō te whārite.

$$\left(y-1\right)x=y+5$$

Whakawehea ngā taha e rua ki te y-1.

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

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

$$x=\frac{y+5}{y-1}$$

Tē taea kia ōrite te tāupe x ki 1.

$$x=\frac{y+5}{y-1}\text{, }x\neq 1$$

Whakaoti mō y

$$y=\frac{x+5}{x-1}$$

$$x\neq 1$$