Whakaoti i te 4/y-2-6y-4/y^2-4=6/y+2

$$\frac { 4 } { y - 2 } - \frac { 6 y - 4 } { y ^ { 2 } - 4 } = \frac { 6 } { y + 2 }$$

Whakaoti mō y

$$y=3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe y ki tētahi o ngā uara -2,2 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(y-2\right)\left(y+2\right), arā, te tauraro pātahi he tino iti rawa te kitea o y-2,y^{2}-4,y+2.

$$\left(y+2\right)\times 4-\left(6y-4\right)=\left(y-2\right)\times 6$$

Whakamahia te āhuatanga tohatoha hei whakarea te y+2 ki te 4.

$$4y+8-\left(6y-4\right)=\left(y-2\right)\times 6$$

Hei kimi i te tauaro o 6y-4, kimihia te tauaro o ia taurangi.

$$4y+8-6y+4=\left(y-2\right)\times 6$$

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

$$-2y+8+4=\left(y-2\right)\times 6$$

Tāpirihia te 8 ki te 4, ka 12.

$$-2y+12=\left(y-2\right)\times 6$$

Whakamahia te āhuatanga tohatoha hei whakarea te y-2 ki te 6.

$$-2y+12=6y-12$$

Tangohia te 6y mai i ngā taha e rua.

$$-2y+12-6y=-12$$

Pahekotia te -2y me -6y, ka -8y.

$$-8y+12=-12$$

Tangohia te 12 mai i ngā taha e rua.

$$-8y=-12-12$$

Tangohia te 12 i te -12, ka -24.

$$-8y=-24$$

Whakawehea ngā taha e rua ki te -8.

$$y=\frac{-24}{-8}$$

Whakawehea te -24 ki te -8, kia riro ko 3.

$$y=3$$