Whakaoti i te (((1412-25)div8)+0875)=(((1412-25)divx)+y)

$$(((1412-25) \div 8)+0875)=(((1412-25) \div x)+y)$$

Whakaoti mō x

$$x=-\frac{11096}{8y-1387}$$

$$y\neq \frac{1387}{8}$$

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. Me whakarea ngā taha e rua o te whārite ki te 8x, arā, te tauraro pātahi he tino iti rawa te kitea o 8,x.

$$x\left(1412-25\right)+0\times 875\times 8x=8\left(1412-25\right)+8xy$$

Tangohia te 25 i te 1412, ka 1387.

$$x\times 1387+0\times 875\times 8x=8\left(1412-25\right)+8xy$$

Whakareatia te 0 ki te 875, ka 0.

$$x\times 1387+0\times 8x=8\left(1412-25\right)+8xy$$

Whakareatia te 0 ki te 8, ka 0.

$$x\times 1387+0x=8\left(1412-25\right)+8xy$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$x\times 1387+0=8\left(1412-25\right)+8xy$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$x\times 1387=8\left(1412-25\right)+8xy$$

Tangohia te 25 i te 1412, ka 1387.

$$x\times 1387=8\times 1387+8xy$$

Whakareatia te 8 ki te 1387, ka 11096.

$$x\times 1387=11096+8xy$$

Tangohia te 8xy mai i ngā taha e rua.

$$x\times 1387-8xy=11096$$

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

$$\left(1387-8y\right)x=11096$$

Whakawehea ngā taha e rua ki te 1387-8y.

$$\frac{\left(1387-8y\right)x}{1387-8y}=\frac{11096}{1387-8y}$$

Mā te whakawehe ki te 1387-8y ka wetekia te whakareanga ki te 1387-8y.

$$x=\frac{11096}{1387-8y}$$

Tē taea kia ōrite te tāupe x ki 0.

$$x=\frac{11096}{1387-8y}\text{, }x\neq 0$$

Whakaoti mō y

$$y=\frac{1387}{8}-\frac{1387}{x}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 8x, arā, te tauraro pātahi he tino iti rawa te kitea o 8,x.

$$x\left(1412-25\right)+0\times 875\times 8x=8\left(1412-25\right)+8xy$$

Tangohia te 25 i te 1412, ka 1387.

$$x\times 1387+0\times 875\times 8x=8\left(1412-25\right)+8xy$$

Whakareatia te 0 ki te 875, ka 0.

$$x\times 1387+0\times 8x=8\left(1412-25\right)+8xy$$

Whakareatia te 0 ki te 8, ka 0.

$$x\times 1387+0x=8\left(1412-25\right)+8xy$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$x\times 1387+0=8\left(1412-25\right)+8xy$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$x\times 1387=8\left(1412-25\right)+8xy$$

Tangohia te 25 i te 1412, ka 1387.

$$x\times 1387=8\times 1387+8xy$$

Whakareatia te 8 ki te 1387, ka 11096.

$$x\times 1387=11096+8xy$$

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

$$11096+8xy=x\times 1387$$

Tangohia te 11096 mai i ngā taha e rua.

$$8xy=x\times 1387-11096$$

He hanga arowhānui tō te whārite.

$$8xy=1387x-11096$$

Whakawehea ngā taha e rua ki te 8x.

$$\frac{8xy}{8x}=\frac{1387x-11096}{8x}$$

Mā te whakawehe ki te 8x ka wetekia te whakareanga ki te 8x.

$$y=\frac{1387x-11096}{8x}$$

Whakawehe -11096+1387x ki te 8x.

$$y=\frac{1387}{8}-\frac{1387}{x}$$