Whakaoti i te 1/5+7/10=18/x+36/x

$$\frac { 1 } { 5 } + \frac { 7 } { 10 } = 18 / x + 36 / x$$

Whakaoti mō x

$$x=60$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 10x, arā, te tauraro pātahi he tino iti rawa te kitea o 5,10,x.

$$10x\times \frac{1}{5}+10x\times \frac{7}{10}=10\times 18+10\times 36$$

Whakareatia te 10 ki te \frac{1}{5}, ka \frac{10}{5}.

$$\frac{10}{5}x+10x\times \frac{7}{10}=10\times 18+10\times 36$$

Whakawehea te 10 ki te 5, kia riro ko 2.

$$2x+10x\times \frac{7}{10}=10\times 18+10\times 36$$

Me whakakore te 10 me te 10.

$$2x+7x=10\times 18+10\times 36$$

Pahekotia te 2x me 7x, ka 9x.

$$9x=10\times 18+10\times 36$$

Whakareatia te 10 ki te 18, ka 180. Whakareatia te 10 ki te 36, ka 360.

$$9x=180+360$$

Tāpirihia te 180 ki te 360, ka 540.

$$9x=540$$

Whakawehea ngā taha e rua ki te 9.

$$x=\frac{540}{9}$$

Whakawehea te 540 ki te 9, kia riro ko 60.

$$x=60$$