Whakaoti i te 1000/x-1=y

$$\frac{ 1000 }{ x } -1=y$$

Whakaoti mō x

$$x=\frac{1000}{y+1}$$

$$y\neq -1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x.

$$1000+x\left(-1\right)=yx$$

Tangohia te yx mai i ngā taha e rua.

$$1000+x\left(-1\right)-yx=0$$

Tangohia te 1000 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$x\left(-1\right)-yx=-1000$$

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

$$\left(-1-y\right)x=-1000$$

He hanga arowhānui tō te whārite.

$$\left(-y-1\right)x=-1000$$

Whakawehea ngā taha e rua ki te -1-y.

$$\frac{\left(-y-1\right)x}{-y-1}=-\frac{1000}{-y-1}$$

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

$$x=-\frac{1000}{-y-1}$$

Whakawehe -1000 ki te -1-y.

$$x=\frac{1000}{y+1}$$

Tē taea kia ōrite te tāupe x ki 0.

$$x=\frac{1000}{y+1}\text{, }x\neq 0$$

Whakaoti mō y

$$y=-1+\frac{1000}{x}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te x.

$$1000+x\left(-1\right)=yx$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$yx=1000+x\left(-1\right)$$

He hanga arowhānui tō te whārite.

$$xy=1000-x$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xy}{x}=\frac{1000-x}{x}$$

Mā te whakawehe ki te x ka wetekia te whakareanga ki te x.

$$y=\frac{1000-x}{x}$$

Whakawehe 1000-x ki te x.

$$y=-1+\frac{1000}{x}$$