Whakaoti i te 6.03/23+x=8.61/108+x

$$\frac{ 6.03 }{ 23+x } = \frac{ 8.61 }{ 108+x }$$

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.

$$\left(x+108\right)\times 6.03=\left(x+23\right)\times 8.61$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+108 ki te 6.03.

$$6.03x+651.24=\left(x+23\right)\times 8.61$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+23 ki te 8.61.

$$6.03x+651.24=8.61x+198.03$$

Tangohia te 8.61x mai i ngā taha e rua.

$$6.03x+651.24-8.61x=198.03$$

Pahekotia te 6.03x me -8.61x, ka -2.58x.

$$-2.58x+651.24=198.03$$

Tangohia te 651.24 mai i ngā taha e rua.

$$-2.58x=198.03-651.24$$

Tangohia te 651.24 i te 198.03, ka -453.21.

$$-2.58x=-453.21$$

Whakawehea ngā taha e rua ki te -2.58.

$$x=\frac{-453.21}{-2.58}$$

Whakarohaina te \frac{-453.21}{-2.58} mā te whakarea i te taurunga me te tauraro ki te 100.

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

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

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