Whakaoti i te 450/x+05=440/x+10

$$\frac{ 450 }{ x } +05 = \frac{ 440 }{ x+10 }$$

Whakaoti mō x

$$x=-450$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara -10,0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te x\left(x+10\right), arā, te tauraro pātahi he tino iti rawa te kitea o x,x+10.

$$\left(x+10\right)\times 450+0\times 5x\left(x+10\right)=x\times 440$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+10 ki te 450.

$$450x+4500+0\times 5x\left(x+10\right)=x\times 440$$

Whakareatia te 0 ki te 5, ka 0.

$$450x+4500+0x\left(x+10\right)=x\times 440$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$450x+4500+0=x\times 440$$

Tāpirihia te 4500 ki te 0, ka 4500.

$$450x+4500=x\times 440$$

Tangohia te x\times 440 mai i ngā taha e rua.

$$450x+4500-x\times 440=0$$

Pahekotia te 450x me -x\times 440, ka 10x.

$$10x+4500=0$$

Tangohia te 4500 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$10x=-4500$$

Whakawehea ngā taha e rua ki te 10.

$$x=\frac{-4500}{10}$$

Whakawehea te -4500 ki te 10, kia riro ko -450.

$$x=-450$$