Whakaoti i te 2x-1/y=-7

$$2 x - 1 / y = - 7$$

Whakaoti mō x

$$x=-\frac{7}{2}+\frac{1}{2y}$$

$$y\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$2xy-1=-7y$$

Me tāpiri te 1 ki ngā taha e rua.

$$2xy=-7y+1$$

He hanga arowhānui tō te whārite.

$$2yx=1-7y$$

Whakawehea ngā taha e rua ki te 2y.

$$\frac{2yx}{2y}=\frac{1-7y}{2y}$$

Mā te whakawehe ki te 2y ka wetekia te whakareanga ki te 2y.

$$x=\frac{1-7y}{2y}$$

Whakawehe -7y+1 ki te 2y.

$$x=-\frac{7}{2}+\frac{1}{2y}$$

Whakaoti mō y

$$y=\frac{1}{2x+7}$$

$$x\neq -\frac{7}{2}$$

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

$$2xy-1=-7y$$

Me tāpiri te 7y ki ngā taha e rua.

$$2xy-1+7y=0$$

Me tāpiri te 1 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$2xy+7y=1$$

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

$$\left(2x+7\right)y=1$$

Whakawehea ngā taha e rua ki te 7+2x.

$$\frac{\left(2x+7\right)y}{2x+7}=\frac{1}{2x+7}$$

Mā te whakawehe ki te 7+2x ka wetekia te whakareanga ki te 7+2x.

$$y=\frac{1}{2x+7}$$

Tē taea kia ōrite te tāupe y ki 0.

$$y=\frac{1}{2x+7}\text{, }y\neq 0$$