Whakaoti i te xy+2x-1=0

$$x y + 2 x - 1 = 0$$

Whakaoti mō x

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

$$y\neq -2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$xy+2x=1$$

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

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

Whakawehea ngā taha e rua ki te y+2.

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

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

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

Whakaoti mō y

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

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$xy-1=-2x$$

Me tāpiri te 1 ki ngā taha e rua.

$$xy=-2x+1$$

He hanga arowhānui tō te whārite.

$$xy=1-2x$$

Whakawehea ngā taha e rua ki te x.

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

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

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

Whakawehe -2x+1 ki te x.

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