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

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

Whakaoti mō v

$$v = -\frac{7}{2} = -3\frac{1}{2} = -3.5$$

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 -21.

$$6v=-21$$

Whakawehea ngā taha e rua ki te 6.

$$v=\frac{-21}{6}$$

Whakahekea te hautanga \frac{-21}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$v=-\frac{7}{2}$$