Whakaoti i te x-1/y+x=1P

$$\frac { x - 1 } { y + x } = 1 P$$

Whakaoti mō P

$$P=\frac{x-1}{x+y}$$

$$x\neq -y$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te x+y.

$$x-1=1P\left(x+y\right)$$

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

$$x-1=1Px+1Py$$

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

$$1Px+1Py=x-1$$

Whakaraupapatia anō ngā kīanga tau.

$$Px+Py=x-1$$

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

$$\left(x+y\right)P=x-1$$

Whakawehea ngā taha e rua ki te y+x.

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

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

$$P=\frac{x-1}{x+y}$$

Whakaoti mō x

$$\left\{\begin{matrix}x=\frac{Py+1}{1-P}\text{, }&y\neq -1\text{ and }P\neq 1\\x\neq 1\text{, }&P=1\text{ and }y=-1\end{matrix}\right.$$