Whakaoti i te y=2x+4/x+2

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

Whakaoti mō x

$$x\neq -2$$

$$y=2\text{ and }x\neq -2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -2 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x+2.

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

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

$$yx+2y=2x+4$$

Tangohia te 2x mai i ngā taha e rua.

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

Tangohia te 2y mai i ngā taha e rua.

$$yx-2x=4-2y$$

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

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

Whakawehea ngā taha e rua ki te y-2.

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

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

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

Whakawehe 4-2y ki te y-2.

$$x=-2$$

Tē taea kia ōrite te tāupe x ki -2.

$$x\in \emptyset$$

Whakaoti mō y

$$y=2$$

$$x\neq -2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{2x+4}{x+2}.

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

Me whakakore tahi te x+2 i te taurunga me te tauraro.

$$y=2$$