Whakaoti i te 2(1000/x)=7000/x+200

$$2 ( \frac { 1000 } { x } ) = \frac { 7000 } { x + 200 }$$

Whakaoti mō x

$$x=80$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara -200,0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te x\left(x+200\right), arā, te tauraro pātahi he tino iti rawa te kitea o x,x+200.

$$2\left(x+200\right)\times 1000=x\times 7000$$

Whakareatia te 2 ki te 1000, ka 2000.

$$2000\left(x+200\right)=x\times 7000$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2000 ki te x+200.

$$2000x+400000=x\times 7000$$

Tangohia te x\times 7000 mai i ngā taha e rua.

$$2000x+400000-x\times 7000=0$$

Pahekotia te 2000x me -x\times 7000, ka -5000x.

$$-5000x+400000=0$$

Tangohia te 400000 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-5000x=-400000$$

Whakawehea ngā taha e rua ki te -5000.

$$x=\frac{-400000}{-5000}$$

Whakawehea te -400000 ki te -5000, kia riro ko 80.

$$x=80$$