Whakaoti i te 30-44/40-x=44-50/x-45

$$\frac{ 30-44 }{ 40-x } = \frac{ 44-50 }{ x-45 }$$

Whakaoti mō x

$$x = \frac{87}{2} = 43\frac{1}{2} = 43.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara 40,45 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(x-45\right)\left(x-40\right), arā, te tauraro pātahi he tino iti rawa te kitea o 40-x,x-45.

$$\left(45-x\right)\left(30-44\right)=\left(x-40\right)\left(44-50\right)$$

Tangohia te 44 i te 30, ka -14.

$$\left(45-x\right)\left(-14\right)=\left(x-40\right)\left(44-50\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 45-x ki te -14.

$$-630+14x=\left(x-40\right)\left(44-50\right)$$

Tangohia te 50 i te 44, ka -6.

$$-630+14x=\left(x-40\right)\left(-6\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te x-40 ki te -6.

$$-630+14x=-6x+240$$

Me tāpiri te 6x ki ngā taha e rua.

$$-630+14x+6x=240$$

Pahekotia te 14x me 6x, ka 20x.

$$-630+20x=240$$

Me tāpiri te 630 ki ngā taha e rua.

$$20x=240+630$$

Tāpirihia te 240 ki te 630, ka 870.

$$20x=870$$

Whakawehea ngā taha e rua ki te 20.

$$x=\frac{870}{20}$$

Whakahekea te hautanga \frac{870}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$x=\frac{87}{2}$$