Whakaoti i te 8/v-1=-4/v-7

$$\frac { 8 } { v - 1 } = \frac { - 4 } { v - 7 }$$

Whakaoti mō v

$$v=5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe v ki tētahi o ngā uara 1,7 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(v-7\right)\left(v-1\right), arā, te tauraro pātahi he tino iti rawa te kitea o v-1,v-7.

$$\left(v-7\right)\times 8=\left(v-1\right)\left(-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te v-7 ki te 8.

$$8v-56=\left(v-1\right)\left(-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te v-1 ki te -4.

$$8v-56=-4v+4$$

Me tāpiri te 4v ki ngā taha e rua.

$$8v-56+4v=4$$

Pahekotia te 8v me 4v, ka 12v.

$$12v-56=4$$

Me tāpiri te 56 ki ngā taha e rua.

$$12v=4+56$$

Tāpirihia te 4 ki te 56, ka 60.

$$12v=60$$

Whakawehea ngā taha e rua ki te 12.

$$v=\frac{60}{12}$$

Whakawehea te 60 ki te 12, kia riro ko 5.

$$v=5$$