Whakaoti i te 1/1-x=3

$$\frac { 1 } { 1 - x } = 3$$

Whakaoti mō x

$$x=\frac{2}{3}\approx 0.666666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 1 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te -x+1.

$$1=3\left(-x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te -x+1.

$$1=-3x+3$$

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

$$-3x+3=1$$

Tangohia te 3 mai i ngā taha e rua.

$$-3x=1-3$$

Tangohia te 3 i te 1, ka -2.

$$-3x=-2$$

Whakawehea ngā taha e rua ki te -3.

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

Ka taea te hautanga \frac{-2}{-3} te whakamāmā ki te \frac{2}{3} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{2}{3}$$