Whakaoti i te x+2/y+5=x+1/y

$$\frac{ x+2 }{ y+5 } = \frac{ x+1 }{ y }$$

Whakaoti mō x

$$x=\frac{y-5}{5}$$

$$y\neq -5\text{ and }y\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te y\left(y+5\right), arā, te tauraro pātahi he tino iti rawa te kitea o y+5,y.

$$y\left(x+2\right)=\left(y+5\right)\left(x+1\right)$$

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

$$yx+2y=\left(y+5\right)\left(x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te y+5 ki te x+1.

$$yx+2y=yx+y+5x+5$$

Tangohia te yx mai i ngā taha e rua.

$$yx+2y-yx=y+5x+5$$

Pahekotia te yx me -yx, ka 0.

$$2y=y+5x+5$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$y+5x+5=2y$$

Tangohia te y mai i ngā taha e rua.

$$5x+5=2y-y$$

Pahekotia te 2y me -y, ka y.

$$5x+5=y$$

Tangohia te 5 mai i ngā taha e rua.

$$5x=y-5$$

Whakawehea ngā taha e rua ki te 5.

$$\frac{5x}{5}=\frac{y-5}{5}$$

Mā te whakawehe ki te 5 ka wetekia te whakareanga ki te 5.

$$x=\frac{y-5}{5}$$

Whakawehe -5+y ki te 5.

$$x=\frac{y}{5}-1$$

Whakaoti mō y

$$y=5\left(x+1\right)$$

$$x\neq -2\text{ and }x\neq -1$$

Ngā Upane Otinga

Tē taea kia ōrite te tāupe y ki tētahi o ngā uara -5,0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te y\left(y+5\right), arā, te tauraro pātahi he tino iti rawa te kitea o y+5,y.

$$y\left(x+2\right)=\left(y+5\right)\left(x+1\right)$$

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

$$yx+2y=\left(y+5\right)\left(x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te y+5 ki te x+1.

$$yx+2y=yx+y+5x+5$$

Tangohia te yx mai i ngā taha e rua.

$$yx+2y-yx=y+5x+5$$

Pahekotia te yx me -yx, ka 0.

$$2y=y+5x+5$$

Tangohia te y mai i ngā taha e rua.

$$2y-y=5x+5$$

Pahekotia te 2y me -y, ka y.

$$y=5x+5$$

Tē taea kia ōrite te tāupe y ki tētahi o ngā uara -5,0.

$$y=5x+5\text{, }y\neq -5\text{ and }y\neq 0$$