Whakaoti i te x+y=2xy

$$x + y = 2 x y$$

Whakaoti mō x

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

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 2xy mai i ngā taha e rua.

$$x+y-2xy=0$$

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

$$x-2xy=-y$$

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

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

Whakawehea ngā taha e rua ki te 1-2y.

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

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

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

Whakaoti mō y

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

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 2xy mai i ngā taha e rua.

$$x+y-2xy=0$$

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

$$y-2xy=-x$$

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

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

Whakawehea ngā taha e rua ki te 1-2x.

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

Mā te whakawehe ki te 1-2x ka wetekia te whakareanga ki te 1-2x.

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