Whakaoti i te x+y+xy=1

$$x + y + x y = 1$$

Whakaoti mō x

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

$$y\neq -1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te y mai i ngā taha e rua.

$$x+xy=1-y$$

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

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

He hanga arowhānui tō te whārite.

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

Whakawehea ngā taha e rua ki te 1+y.

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

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

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

Whakaoti mō y

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

$$x\neq -1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te x mai i ngā taha e rua.

$$y+xy=1-x$$

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

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

He hanga arowhānui tō te whārite.

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

Whakawehea ngā taha e rua ki te 1+x.

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

Mā te whakawehe ki te 1+x ka wetekia te whakareanga ki te 1+x.

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