Whakaoti i te 1.33/v-1/40=1.33-1/-20

$$\frac { 1.33 } { v } - \frac { 1 } { 40 } = \frac { 1.33 - 1 } { - 20 }$$

Whakaoti mō v

$$v = \frac{2660}{17} = 156\frac{8}{17} \approx 156.470588235$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe v ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 40v, arā, te tauraro pātahi he tino iti rawa te kitea o v,40,-20.

$$40\times 1.33+40v\left(-\frac{1}{40}\right)=-2v\left(1.33-1\right)$$

Whakareatia te 40 ki te 1.33, ka 53.2.

$$53.2+40v\left(-\frac{1}{40}\right)=-2v\left(1.33-1\right)$$

Me whakakore te 40 me te 40.

$$53.2-v=-2v\left(1.33-1\right)$$

Tangohia te 1 i te 1.33, ka 0.33.

$$53.2-v=-2v\times 0.33$$

Whakareatia te -2 ki te 0.33, ka -0.66.

$$53.2-v=-0.66v$$

Me tāpiri te 0.66v ki ngā taha e rua.

$$53.2-v+0.66v=0$$

Pahekotia te -v me 0.66v, ka -0.34v.

$$53.2-0.34v=0$$

Tangohia te 53.2 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-0.34v=-53.2$$

Whakawehea ngā taha e rua ki te -0.34.

$$v=\frac{-53.2}{-0.34}$$

Whakarohaina te \frac{-53.2}{-0.34} mā te whakarea i te taurunga me te tauraro ki te 100.

$$v=\frac{-5320}{-34}$$

Whakahekea te hautanga \frac{-5320}{-34} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -2.

$$v=\frac{2660}{17}$$