Whakaoti i te (((14.12-.25)div8)+.0875)=(((14.12-.25)divx)+y)

$$(((14.12-.25) \div 8)+.0875)=(((14.12-.25) \div x)+y)$$

Whakaoti mō x

$$x=-\frac{11096}{800y-1457}$$

$$y\neq \frac{1457}{800}$$

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.

$$x\left(14.12-0.25\right)+8x\times 0.0875=8\left(14.12-0.25\right)+8xy$$

Tangohia te 0.25 i te 14.12, ka 13.87.

$$x\times 13.87+8x\times 0.0875=8\left(14.12-0.25\right)+8xy$$

Whakareatia te 8 ki te 0.0875, ka 0.7.

$$x\times 13.87+0.7x=8\left(14.12-0.25\right)+8xy$$

Pahekotia te x\times 13.87 me 0.7x, ka 14.57x.

$$14.57x=8\left(14.12-0.25\right)+8xy$$

Tangohia te 0.25 i te 14.12, ka 13.87.

$$14.57x=8\times 13.87+8xy$$

Whakareatia te 8 ki te 13.87, ka 110.96.

$$14.57x=110.96+8xy$$

Tangohia te 8xy mai i ngā taha e rua.

$$14.57x-8xy=110.96$$

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

$$\left(14.57-8y\right)x=110.96$$

Whakawehea ngā taha e rua ki te 14.57-8y.

$$\frac{\left(14.57-8y\right)x}{14.57-8y}=\frac{110.96}{14.57-8y}$$

Mā te whakawehe ki te 14.57-8y ka wetekia te whakareanga ki te 14.57-8y.

$$x=\frac{110.96}{14.57-8y}$$

Whakawehe 110.96 ki te 14.57-8y.

$$x=\frac{2774}{25\left(14.57-8y\right)}$$

Tē taea kia ōrite te tāupe x ki 0.

$$x=\frac{2774}{25\left(14.57-8y\right)}\text{, }x\neq 0$$

Whakaoti mō y

$$y=1.82125-\frac{1387}{100x}$$

$$x\neq 0$$

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.

$$x\left(14.12-0.25\right)+8x\times 0.0875=8\left(14.12-0.25\right)+8xy$$

Tangohia te 0.25 i te 14.12, ka 13.87.

$$x\times 13.87+8x\times 0.0875=8\left(14.12-0.25\right)+8xy$$

Whakareatia te 8 ki te 0.0875, ka 0.7.

$$x\times 13.87+0.7x=8\left(14.12-0.25\right)+8xy$$

Pahekotia te x\times 13.87 me 0.7x, ka 14.57x.

$$14.57x=8\left(14.12-0.25\right)+8xy$$

Tangohia te 0.25 i te 14.12, ka 13.87.

$$14.57x=8\times 13.87+8xy$$

Whakareatia te 8 ki te 13.87, ka 110.96.

$$14.57x=110.96+8xy$$

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

$$110.96+8xy=14.57x$$

Tangohia te 110.96 mai i ngā taha e rua.

$$8xy=14.57x-110.96$$

He hanga arowhānui tō te whārite.

$$8xy=\frac{1457x}{100}-110.96$$

Whakawehea ngā taha e rua ki te 8x.

$$\frac{8xy}{8x}=\frac{\frac{1457x}{100}-110.96}{8x}$$

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

$$y=\frac{\frac{1457x}{100}-110.96}{8x}$$

Whakawehe \frac{1457x}{100}-110.96 ki te 8x.

$$y=\frac{1457}{800}-\frac{1387}{100x}$$