Whakaoti i te 18/140+x100=36.5

$$\frac{ 18 }{ 140+x } 100 = 36.5$$

Whakaoti mō x

$$x = -\frac{6620}{73} = -90\frac{50}{73} \approx -90.684931507$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ngā taha e rua ki te 100.

$$\frac{18}{140+x}=\frac{36.5}{100}$$

Whakarohaina te \frac{36.5}{100} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{18}{140+x}=\frac{365}{1000}$$

Whakahekea te hautanga \frac{365}{1000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{18}{140+x}=\frac{73}{200}$$

Tē taea kia ōrite te tāupe x ki -140 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 200\left(x+140\right), arā, te tauraro pātahi he tino iti rawa te kitea o 140+x,200.

$$200\times 18=73\left(x+140\right)$$

Whakareatia te 200 ki te 18, ka 3600.

$$3600=73\left(x+140\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 73 ki te x+140.

$$3600=73x+10220$$

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

$$73x+10220=3600$$

Tangohia te 10220 mai i ngā taha e rua.

$$73x=3600-10220$$

Tangohia te 10220 i te 3600, ka -6620.

$$73x=-6620$$

Whakawehea ngā taha e rua ki te 73.

$$x=\frac{-6620}{73}$$

Ka taea te hautanga \frac{-6620}{73} te tuhi anō ko -\frac{6620}{73} mā te tango i te tohu tōraro.

$$x=-\frac{6620}{73}$$