Whakaoti i te -6/f-9=-4/f-5

$$\frac { - 6 } { f - 9 } = \frac { - 4 } { f - 5 }$$

Whakaoti mō f

$$f=-3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe f ki tētahi o ngā uara 5,9 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(f-9\right)\left(f-5\right), arā, te tauraro pātahi he tino iti rawa te kitea o f-9,f-5.

$$\left(f-5\right)\left(-6\right)=\left(f-9\right)\left(-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te f-5 ki te -6.

$$-6f+30=\left(f-9\right)\left(-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te f-9 ki te -4.

$$-6f+30=-4f+36$$

Me tāpiri te 4f ki ngā taha e rua.

$$-6f+30+4f=36$$

Pahekotia te -6f me 4f, ka -2f.

$$-2f+30=36$$

Tangohia te 30 mai i ngā taha e rua.

$$-2f=36-30$$

Tangohia te 30 i te 36, ka 6.

$$-2f=6$$

Whakawehea ngā taha e rua ki te -2.

$$f=\frac{6}{-2}$$

Whakawehea te 6 ki te -2, kia riro ko -3.

$$f=-3$$