Whakaoti i te 4/v+3=-5/2v+6+3

$$\frac { 4 } { v + 3 } = - \frac { 5 } { 2 v + 6 } + 3$$

Whakaoti mō v

$$v=-\frac{5}{6}\approx -0.833333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe v ki -3 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 2\left(v+3\right), arā, te tauraro pātahi he tino iti rawa te kitea o v+3,2v+6.

$$2\times 4=-5+2\left(v+3\right)\times 3$$

Whakareatia te 2 ki te 4, ka 8.

$$8=-5+2\left(v+3\right)\times 3$$

Whakareatia te 2 ki te 3, ka 6.

$$8=-5+6\left(v+3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te v+3.

$$8=-5+6v+18$$

Tāpirihia te -5 ki te 18, ka 13.

$$8=13+6v$$

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

$$13+6v=8$$

Tangohia te 13 mai i ngā taha e rua.

$$6v=8-13$$

Tangohia te 13 i te 8, ka -5.

$$6v=-5$$

Whakawehea ngā taha e rua ki te 6.

$$v=\frac{-5}{6}$$

Ka taea te hautanga \frac{-5}{6} te tuhi anō ko -\frac{5}{6} mā te tango i te tohu tōraro.

$$v=-\frac{5}{6}$$