Whakaoti i te j-8/j+10=j-1/j+3

$$\frac { j - 8 } { j + 10 } = \frac { j - 1 } { j + 3 }$$

Whakaoti mō j

$$j=-1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe j ki tētahi o ngā uara -10,-3 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(j+3\right)\left(j+10\right), arā, te tauraro pātahi he tino iti rawa te kitea o j+10,j+3.

$$\left(j+3\right)\left(j-8\right)=\left(j+10\right)\left(j-1\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te j+3 ki te j-8 ka whakakotahi i ngā kupu rite.

$$j^{2}-5j-24=\left(j+10\right)\left(j-1\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te j+10 ki te j-1 ka whakakotahi i ngā kupu rite.

$$j^{2}-5j-24=j^{2}+9j-10$$

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

$$j^{2}-5j-24-j^{2}=9j-10$$

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

$$-5j-24=9j-10$$

Tangohia te 9j mai i ngā taha e rua.

$$-5j-24-9j=-10$$

Pahekotia te -5j me -9j, ka -14j.

$$-14j-24=-10$$

Me tāpiri te 24 ki ngā taha e rua.

$$-14j=-10+24$$

Tāpirihia te -10 ki te 24, ka 14.

$$-14j=14$$

Whakawehea ngā taha e rua ki te -14.

$$j=\frac{14}{-14}$$

Whakawehea te 14 ki te -14, kia riro ko -1.

$$j=-1$$