Whakaoti i te 2500/a=2000/(a+3)*2

$$\frac { 2500 } { a } = \frac { 2000 } { ( a + 3 ) } \times 2$$

Whakaoti mō a

$$a=5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe a ki tētahi o ngā uara -3,0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te a\left(a+3\right), arā, te tauraro pātahi he tino iti rawa te kitea o a,a+3.

$$\left(a+3\right)\times 2500=a\times 2000\times 2$$

Whakamahia te āhuatanga tohatoha hei whakarea te a+3 ki te 2500.

$$2500a+7500=a\times 2000\times 2$$

Whakareatia te 2000 ki te 2, ka 4000.

$$2500a+7500=a\times 4000$$

Tangohia te a\times 4000 mai i ngā taha e rua.

$$2500a+7500-a\times 4000=0$$

Pahekotia te 2500a me -a\times 4000, ka -1500a.

$$-1500a+7500=0$$

Tangohia te 7500 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-1500a=-7500$$

Whakawehea ngā taha e rua ki te -1500.

$$a=\frac{-7500}{-1500}$$

Whakawehea te -7500 ki te -1500, kia riro ko 5.

$$a=5$$