Whakaoti i te y=x/x-7

$$y = \frac { x } { x - 7 }$$

Whakaoti mō x

$$x=\frac{7y}{y-1}$$

$$y\neq 1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 7 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x-7.

$$y\left(x-7\right)=x$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te x-7.

$$yx-7y=x$$

Tangohia te x mai i ngā taha e rua.

$$yx-7y-x=0$$

Me tāpiri te 7y ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$yx-x=7y$$

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

$$\left(y-1\right)x=7y$$

Whakawehea ngā taha e rua ki te y-1.

$$\frac{\left(y-1\right)x}{y-1}=\frac{7y}{y-1}$$

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

$$x=\frac{7y}{y-1}$$

Tē taea kia ōrite te tāupe x ki 7.

$$x=\frac{7y}{y-1}\text{, }x\neq 7$$

Whakaoti mō y

$$y=\frac{x}{x-7}$$

$$x\neq 7$$