Whakaoti i te -3/1+2=-6/2v-4+1

$$- \frac{ 3 }{ 1+2 } = - \frac{ 6 }{ 2v-4 } +1$$

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 2 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te 2\left(v-2\right).

$$-\left(\frac{2}{3}v-\frac{4}{3}\right)\times 3=-6+2\left(v-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{2}{3}v-\frac{4}{3} ki te 3.

$$-\left(2v-4\right)=-6+2\left(v-2\right)$$

Hei kimi i te tauaro o 2v-4, kimihia te tauaro o ia taurangi.

$$-2v+4=-6+2\left(v-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te v-2.

$$-2v+4=-6+2v-4$$

Tangohia te 4 i te -6, ka -10.

$$-2v+4=-10+2v$$

Tangohia te 2v mai i ngā taha e rua.

$$-2v+4-2v=-10$$

Pahekotia te -2v me -2v, ka -4v.

$$-4v+4=-10$$

Tangohia te 4 mai i ngā taha e rua.

$$-4v=-10-4$$

Tangohia te 4 i te -10, ka -14.

$$-4v=-14$$

Whakawehea ngā taha e rua ki te -4.

$$v=\frac{-14}{-4}$$

Whakahekea te hautanga \frac{-14}{-4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -2.

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