Whakaoti i te 1:5-1/v-15=1*5-1/30

$$\frac { 1 : 5 - 1 } { v - 15 } = \frac { 1 \cdot 5 - 1 } { 30 }$$

Whakaoti mō v

$$v=9$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe v ki 15 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 30\left(v-15\right), arā, te tauraro pātahi he tino iti rawa te kitea o v-15,30.

$$30\left(\frac{1}{5}-1\right)=\left(v-15\right)\left(1\times 5-1\right)$$

Tangohia te 1 i te \frac{1}{5}, ka -\frac{4}{5}.

$$30\left(-\frac{4}{5}\right)=\left(v-15\right)\left(1\times 5-1\right)$$

Whakareatia te 30 ki te -\frac{4}{5}, ka -24.

$$-24=\left(v-15\right)\left(1\times 5-1\right)$$

Whakareatia te 1 ki te 5, ka 5.

$$-24=\left(v-15\right)\left(5-1\right)$$

Tangohia te 1 i te 5, ka 4.

$$-24=\left(v-15\right)\times 4$$

Whakamahia te āhuatanga tohatoha hei whakarea te v-15 ki te 4.

$$-24=4v-60$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$4v-60=-24$$

Me tāpiri te 60 ki ngā taha e rua.

$$4v=-24+60$$

Tāpirihia te -24 ki te 60, ka 36.

$$4v=36$$

Whakawehea ngā taha e rua ki te 4.

$$v=\frac{36}{4}$$

Whakawehea te 36 ki te 4, kia riro ko 9.

$$v=9$$