Whakaoti i te 1+2/-15xy=9/4

$$\frac { 1 + 2 } { - 15 x y } = \frac { 9 } { 4 }$$

Whakaoti mō x

$$x=-\frac{4}{45y}$$

$$y\neq 0$$

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 60xy, arā, te tauraro pātahi he tino iti rawa te kitea o -15xy,4.

$$-4\left(1+2\right)=135xy$$

Tāpirihia te 1 ki te 2, ka 3.

$$-4\times 3=135xy$$

Whakareatia te -4 ki te 3, ka -12.

$$-12=135xy$$

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

$$135xy=-12$$

He hanga arowhānui tō te whārite.

$$135yx=-12$$

Whakawehea ngā taha e rua ki te 135y.

$$\frac{135yx}{135y}=-\frac{12}{135y}$$

Mā te whakawehe ki te 135y ka wetekia te whakareanga ki te 135y.

$$x=-\frac{12}{135y}$$

Whakawehe -12 ki te 135y.

$$x=-\frac{4}{45y}$$

Tē taea kia ōrite te tāupe x ki 0.

$$x=-\frac{4}{45y}\text{, }x\neq 0$$

Whakaoti mō y

$$y=-\frac{4}{45x}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe y ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 60xy, arā, te tauraro pātahi he tino iti rawa te kitea o -15xy,4.

$$-4\left(1+2\right)=135xy$$

Tāpirihia te 1 ki te 2, ka 3.

$$-4\times 3=135xy$$

Whakareatia te -4 ki te 3, ka -12.

$$-12=135xy$$

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

$$135xy=-12$$

Whakawehea ngā taha e rua ki te 135x.

$$\frac{135xy}{135x}=-\frac{12}{135x}$$

Mā te whakawehe ki te 135x ka wetekia te whakareanga ki te 135x.

$$y=-\frac{12}{135x}$$

Whakawehe -12 ki te 135x.

$$y=-\frac{4}{45x}$$

Tē taea kia ōrite te tāupe y ki 0.

$$y=-\frac{4}{45x}\text{, }y\neq 0$$