Whakaoti i te 880390+16667/340-x=490

$$880 \frac{ 390+16667 }{ 340-x } = 490$$

Whakaoti mō x

$$x = -\frac{1484356}{49} = -30292\frac{48}{49} \approx -30292.979591837$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ngā taha e rua ki te 880.

$$\frac{390+16667}{340-x}=\frac{490}{880}$$

Whakahekea te hautanga \frac{490}{880} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{390+16667}{340-x}=\frac{49}{88}$$

Tē taea kia ōrite te tāupe x ki 340 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 88\left(x-340\right), arā, te tauraro pātahi he tino iti rawa te kitea o 340-x,88.

$$-88\left(390+16667\right)=49\left(x-340\right)$$

Tāpirihia te 390 ki te 16667, ka 17057.

$$-88\times 17057=49\left(x-340\right)$$

Whakareatia te -88 ki te 17057, ka -1501016.

$$-1501016=49\left(x-340\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 49 ki te x-340.

$$-1501016=49x-16660$$

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

$$49x-16660=-1501016$$

Me tāpiri te 16660 ki ngā taha e rua.

$$49x=-1501016+16660$$

Tāpirihia te -1501016 ki te 16660, ka -1484356.

$$49x=-1484356$$

Whakawehea ngā taha e rua ki te 49.

$$x=\frac{-1484356}{49}$$

Ka taea te hautanga \frac{-1484356}{49} te tuhi anō ko -\frac{1484356}{49} mā te tango i te tohu tōraro.

$$x=-\frac{1484356}{49}$$