Whakaoti i te 6/x=3/11-x

$$\frac { 6 } { x } = \frac { 3 } { 11 - x }$$

Whakaoti mō x

$$x = \frac{22}{3} = 7\frac{1}{3} \approx 7.333333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara 0,11 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te x\left(x-11\right), arā, te tauraro pātahi he tino iti rawa te kitea o x,11-x.

$$\left(x-11\right)\times 6=-x\times 3$$

Whakamahia te āhuatanga tohatoha hei whakarea te x-11 ki te 6.

$$6x-66=-x\times 3$$

Whakareatia te -1 ki te 3, ka -3.

$$6x-66=-3x$$

Me tāpiri te 3x ki ngā taha e rua.

$$6x-66+3x=0$$

Pahekotia te 6x me 3x, ka 9x.

$$9x-66=0$$

Me tāpiri te 66 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$9x=66$$

Whakawehea ngā taha e rua ki te 9.

$$x=\frac{66}{9}$$

Whakahekea te hautanga \frac{66}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$x=\frac{22}{3}$$