Whakaoti i te (x+1)(y-2)=12

$$( x + 1 ) ( y - 2 ) = 12$$

Whakaoti mō x

$$x=-\frac{y-14}{y-2}$$

$$y\neq 2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$xy-2x+y-2=12$$

Tangohia te y mai i ngā taha e rua.

$$xy-2x-2=12-y$$

Me tāpiri te 2 ki ngā taha e rua.

$$xy-2x=12-y+2$$

Tāpirihia te 12 ki te 2, ka 14.

$$xy-2x=14-y$$

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

$$\left(y-2\right)x=14-y$$

Whakawehea ngā taha e rua ki te y-2.

$$\frac{\left(y-2\right)x}{y-2}=\frac{14-y}{y-2}$$

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

$$x=\frac{14-y}{y-2}$$

Whakaoti mō y

$$y=\frac{2\left(x+7\right)}{x+1}$$

$$x\neq -1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$xy-2x+y-2=12$$

Me tāpiri te 2x ki ngā taha e rua.

$$xy+y-2=12+2x$$

Me tāpiri te 2 ki ngā taha e rua.

$$xy+y=12+2x+2$$

Tāpirihia te 12 ki te 2, ka 14.

$$xy+y=14+2x$$

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

$$\left(x+1\right)y=14+2x$$

He hanga arowhānui tō te whārite.

$$\left(x+1\right)y=2x+14$$

Whakawehea ngā taha e rua ki te x+1.

$$\frac{\left(x+1\right)y}{x+1}=\frac{2x+14}{x+1}$$

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

$$y=\frac{2x+14}{x+1}$$

Whakawehe 14+2x ki te x+1.

$$y=\frac{2\left(x+7\right)}{x+1}$$