Whakaoti i te y=2+1/x+3

$$y = 2 + \frac { 1 } { x + 3 }$$

Whakaoti mō x

$$x=-\frac{7-3y}{2-y}$$

$$y\neq 2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -3 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x+3.

$$y\left(x+3\right)=\left(x+3\right)\times 2+1$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te x+3.

$$yx+3y=\left(x+3\right)\times 2+1$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+3 ki te 2.

$$yx+3y=2x+6+1$$

Tāpirihia te 6 ki te 1, ka 7.

$$yx+3y=2x+7$$

Tangohia te 2x mai i ngā taha e rua.

$$yx+3y-2x=7$$

Tangohia te 3y mai i ngā taha e rua.

$$yx-2x=7-3y$$

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

$$\left(y-2\right)x=7-3y$$

Whakawehea ngā taha e rua ki te y-2.

$$\frac{\left(y-2\right)x}{y-2}=\frac{7-3y}{y-2}$$

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

$$x=\frac{7-3y}{y-2}$$

Tē taea kia ōrite te tāupe x ki -3.

$$x=\frac{7-3y}{y-2}\text{, }x\neq -3$$

Whakaoti mō y

$$y=\frac{2x+7}{x+3}$$

$$x\neq -3$$