Whakaoti i te xy-2(x-1)=4y

$$x y - 2 ( x - 1 ) = 4 y$$

Whakaoti mō x

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

$$y\neq 2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x-1.

$$xy-2x+2=4y$$

Tangohia te 2 mai i ngā taha e rua.

$$xy-2x=4y-2$$

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

$$\left(y-2\right)x=4y-2$$

Whakawehea ngā taha e rua ki te y-2.

$$\frac{\left(y-2\right)x}{y-2}=\frac{4y-2}{y-2}$$

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

$$x=\frac{4y-2}{y-2}$$

Whakawehe 4y-2 ki te y-2.

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

Whakaoti mō y

$$y=-\frac{2\left(1-x\right)}{x-4}$$

$$x\neq 4$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x-1.

$$xy-2x+2=4y$$

Tangohia te 4y mai i ngā taha e rua.

$$xy-2x+2-4y=0$$

Me tāpiri te 2x ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$xy+2-4y=2x$$

Tangohia te 2 mai i ngā taha e rua.

$$xy-4y=2x-2$$

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

$$\left(x-4\right)y=2x-2$$

Whakawehea ngā taha e rua ki te x-4.

$$\frac{\left(x-4\right)y}{x-4}=\frac{2x-2}{x-4}$$

Mā te whakawehe ki te x-4 ka wetekia te whakareanga ki te x-4.

$$y=\frac{2x-2}{x-4}$$

Whakawehe -2+2x ki te x-4.

$$y=\frac{2\left(x-1\right)}{x-4}$$