Whakaoti i te 4/x-4=-5

$$\frac { 4 } { x - 4 } = - 5$$

Whakaoti mō x

$$x = \frac{16}{5} = 3\frac{1}{5} = 3.2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 4 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x-4.

$$4=-5\left(x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te x-4.

$$4=-5x+20$$

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

$$-5x+20=4$$

Tangohia te 20 mai i ngā taha e rua.

$$-5x=4-20$$

Tangohia te 20 i te 4, ka -16.

$$-5x=-16$$

Whakawehea ngā taha e rua ki te -5.

$$x=\frac{-16}{-5}$$

Ka taea te hautanga \frac{-16}{-5} te whakamāmā ki te \frac{16}{5} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{16}{5}$$