Whakaoti i te 24x^2-12x-12/3x-3=y

$$\frac{ 24 { x }^{ 2 } -12x-12 }{ 3x-3 } = y$$

Whakaoti mō y

$$y=8x+4$$

$$x\neq 1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 3\left(x-1\right).

$$24x^{2}-12x-12=y\times 3\left(x-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te y\times 3 ki te x-1.

$$24x^{2}-12x-12=3yx-y\times 3$$

Whakareatia te -1 ki te 3, ka -3.

$$24x^{2}-12x-12=3yx-3y$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$3yx-3y=24x^{2}-12x-12$$

Pahekotia ngā kīanga tau katoa e whai ana i te y.

$$\left(3x-3\right)y=24x^{2}-12x-12$$

Whakawehea ngā taha e rua ki te 3x-3.

$$\frac{\left(3x-3\right)y}{3x-3}=\frac{12\left(x-1\right)\left(2x+1\right)}{3x-3}$$

Mā te whakawehe ki te 3x-3 ka wetekia te whakareanga ki te 3x-3.

$$y=\frac{12\left(x-1\right)\left(2x+1\right)}{3x-3}$$

Whakawehe 12\left(-1+x\right)\left(1+2x\right) ki te 3x-3.

$$y=8x+4$$

Whakaoti mō x

$$x=\frac{y-4}{8}$$

$$y\neq 12$$