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

$$v = -\frac{2660}{83} = -32\frac{4}{83} \approx -32.048192771$$

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.

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

Whakareatia te 40 ki te 1.33, ka 53.2.

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

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 1.66v.

$$53.2+1.66v=0$$

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

$$1.66v=-53.2$$

Whakawehea ngā taha e rua ki te 1.66.

$$v=\frac{-53.2}{1.66}$$

Whakarohaina te \frac{-53.2}{1.66} mā te whakarea i te taurunga me te tauraro ki te 100.

$$v=\frac{-5320}{166}$$

Whakahekea te hautanga \frac{-5320}{166} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$v=-\frac{2660}{83}$$