Whakaoti i te 31600/x=6000/x+2

$$3 \frac{ 1600 }{ x } = \frac{ 6000 }{ x+2 }$$

Whakaoti mō x

$$x=8$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara -2,0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te x\left(x+2\right), arā, te tauraro pātahi he tino iti rawa te kitea o x,x+2.

$$3\left(x+2\right)\times 1600=x\times 6000$$

Whakareatia te 3 ki te 1600, ka 4800.

$$4800\left(x+2\right)=x\times 6000$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4800 ki te x+2.

$$4800x+9600=x\times 6000$$

Tangohia te x\times 6000 mai i ngā taha e rua.

$$4800x+9600-x\times 6000=0$$

Pahekotia te 4800x me -x\times 6000, ka -1200x.

$$-1200x+9600=0$$

Tangohia te 9600 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-1200x=-9600$$

Whakawehea ngā taha e rua ki te -1200.

$$x=\frac{-9600}{-1200}$$

Whakawehea te -9600 ki te -1200, kia riro ko 8.

$$x=8$$