Whakaoti i te m/m+9=m-4/m+1

$$\frac { m } { m + 9 } = \frac { m - 4 } { m + 1 }$$

Whakaoti mō m

$$m=9$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe m ki tētahi o ngā uara -9,-1 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(m+1\right)\left(m+9\right), arā, te tauraro pātahi he tino iti rawa te kitea o m+9,m+1.

$$\left(m+1\right)m=\left(m+9\right)\left(m-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te m+1 ki te m.

$$m^{2}+m=\left(m+9\right)\left(m-4\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te m+9 ki te m-4 ka whakakotahi i ngā kupu rite.

$$m^{2}+m=m^{2}+5m-36$$

Tangohia te m^{2} mai i ngā taha e rua.

$$m^{2}+m-m^{2}=5m-36$$

Pahekotia te m^{2} me -m^{2}, ka 0.

$$m=5m-36$$

Tangohia te 5m mai i ngā taha e rua.

$$m-5m=-36$$

Pahekotia te m me -5m, ka -4m.

$$-4m=-36$$

Whakawehea ngā taha e rua ki te -4.

$$m=\frac{-36}{-4}$$

Whakawehea te -36 ki te -4, kia riro ko 9.

$$m=9$$