Whakaoti i te 2/375x+7y=8

$$\frac { 2 } { 375 x } + 7 y = 8$$

Whakaoti mō x

$$x=-\frac{2}{375\left(7y-8\right)}$$

$$y\neq \frac{8}{7}$$

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 375x.

$$2+7y\times 375x=3000x$$

Whakareatia te 7 ki te 375, ka 2625.

$$2+2625yx=3000x$$

Tangohia te 3000x mai i ngā taha e rua.

$$2+2625yx-3000x=0$$

Tangohia te 2 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$2625yx-3000x=-2$$

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

$$\left(2625y-3000\right)x=-2$$

Whakawehea ngā taha e rua ki te 2625y-3000.

$$\frac{\left(2625y-3000\right)x}{2625y-3000}=-\frac{2}{2625y-3000}$$

Mā te whakawehe ki te 2625y-3000 ka wetekia te whakareanga ki te 2625y-3000.

$$x=-\frac{2}{2625y-3000}$$

Whakawehe -2 ki te 2625y-3000.

$$x=-\frac{2}{375\left(7y-8\right)}$$

Tē taea kia ōrite te tāupe x ki 0.

$$x=-\frac{2}{375\left(7y-8\right)}\text{, }x\neq 0$$

Whakaoti mō y

$$y=\frac{8}{7}-\frac{2}{2625x}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 375x.

$$2+7y\times 375x=3000x$$

Whakareatia te 7 ki te 375, ka 2625.

$$2+2625yx=3000x$$

Tangohia te 2 mai i ngā taha e rua.

$$2625yx=3000x-2$$

He hanga arowhānui tō te whārite.

$$2625xy=3000x-2$$

Whakawehea ngā taha e rua ki te 2625x.

$$\frac{2625xy}{2625x}=\frac{3000x-2}{2625x}$$

Mā te whakawehe ki te 2625x ka wetekia te whakareanga ki te 2625x.

$$y=\frac{3000x-2}{2625x}$$

Whakawehe 3000x-2 ki te 2625x.

$$y=\frac{8}{7}-\frac{2}{2625x}$$