Whakaoti i te x=2xy+1

$$x = 2 x y + 1$$

Whakaoti mō x

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

$$y\neq \frac{1}{2}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 2xy mai i ngā taha e rua.

$$x-2xy=1$$

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

$$\left(1-2y\right)x=1$$

Whakawehea ngā taha e rua ki te -2y+1.

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

Mā te whakawehe ki te -2y+1 ka wetekia te whakareanga ki te -2y+1.

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

Whakaoti mō y

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

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$2xy+1=x$$

Tangohia te 1 mai i ngā taha e rua.

$$2xy=x-1$$

Whakawehea ngā taha e rua ki te 2x.

$$\frac{2xy}{2x}=\frac{x-1}{2x}$$

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

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

Whakawehe x-1 ki te 2x.

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