Whakaoti i te x11/x-9=-10

$$x \frac { 11 } { x - 9 } = - 10$$

Whakaoti mō x

$$x = \frac{30}{7} = 4\frac{2}{7} \approx 4.285714286$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 9 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x-9.

$$x\times 11=-10\left(x-9\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -10 ki te x-9.

$$x\times 11=-10x+90$$

Me tāpiri te 10x ki ngā taha e rua.

$$x\times 11+10x=90$$

Pahekotia te x\times 11 me 10x, ka 21x.

$$21x=90$$

Whakawehea ngā taha e rua ki te 21.

$$x=\frac{90}{21}$$

Whakahekea te hautanga \frac{90}{21} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$x=\frac{30}{7}$$