Whakaoti i te 5*20*(1+0.2)2400/y+2400=3000

$$5 \times 20 \times (1+0.2) \frac{ 2400 }{ y } +2400=3000$$

Whakaoti mō y

$$y=480$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe y ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te y.

$$5\times 20\left(1+0.2\right)\times 2400+y\times 2400=3000y$$

Whakareatia te 5 ki te 20, ka 100.

$$100\left(1+0.2\right)\times 2400+y\times 2400=3000y$$

Tāpirihia te 1 ki te 0.2, ka 1.2.

$$100\times 1.2\times 2400+y\times 2400=3000y$$

Whakareatia te 100 ki te 1.2, ka 120.

$$120\times 2400+y\times 2400=3000y$$

Whakareatia te 120 ki te 2400, ka 288000.

$$288000+y\times 2400=3000y$$

Tangohia te 3000y mai i ngā taha e rua.

$$288000+y\times 2400-3000y=0$$

Pahekotia te y\times 2400 me -3000y, ka -600y.

$$288000-600y=0$$

Tangohia te 288000 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-600y=-288000$$

Whakawehea ngā taha e rua ki te -600.

$$y=\frac{-288000}{-600}$$

Whakawehea te -288000 ki te -600, kia riro ko 480.

$$y=480$$