Whakaoti i te 603/23+x=861/108+x

$$\frac{ 603 }{ 23+x } = \frac{ 861 }{ 108+x }$$

Whakaoti mō x

$$x = \frac{15107}{86} = 175\frac{57}{86} \approx 175.662790698$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara -108,-23 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(x+23\right)\left(x+108\right), arā, te tauraro pātahi he tino iti rawa te kitea o 23+x,108+x.

$$\left(x+108\right)\times 603=\left(x+23\right)\times 861$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+108 ki te 603.

$$603x+65124=\left(x+23\right)\times 861$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+23 ki te 861.

$$603x+65124=861x+19803$$

Tangohia te 861x mai i ngā taha e rua.

$$603x+65124-861x=19803$$

Pahekotia te 603x me -861x, ka -258x.

$$-258x+65124=19803$$

Tangohia te 65124 mai i ngā taha e rua.

$$-258x=19803-65124$$

Tangohia te 65124 i te 19803, ka -45321.

$$-258x=-45321$$

Whakawehea ngā taha e rua ki te -258.

$$x=\frac{-45321}{-258}$$

Whakahekea te hautanga \frac{-45321}{-258} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -3.

$$x=\frac{15107}{86}$$