Whakaoti i te 2-(3y+4x)=4(x-y)

$$2 - ( 3 y + 4 x ) = 4 ( x - y )$$

Whakaoti mō x

$$x=\frac{y+2}{8}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei kimi i te tauaro o 3y+4x, kimihia te tauaro o ia taurangi.

$$2-3y-4x=4\left(x-y\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x-y.

$$2-3y-4x=4x-4y$$

Tangohia te 4x mai i ngā taha e rua.

$$2-3y-4x-4x=-4y$$

Pahekotia te -4x me -4x, ka -8x.

$$2-3y-8x=-4y$$

Tangohia te 2 mai i ngā taha e rua.

$$-3y-8x=-4y-2$$

Me tāpiri te 3y ki ngā taha e rua.

$$-8x=-4y-2+3y$$

Pahekotia te -4y me 3y, ka -y.

$$-8x=-y-2$$

Whakawehea ngā taha e rua ki te -8.

$$\frac{-8x}{-8}=\frac{-y-2}{-8}$$

Mā te whakawehe ki te -8 ka wetekia te whakareanga ki te -8.

$$x=\frac{-y-2}{-8}$$

Whakawehe -y-2 ki te -8.

$$x=\frac{y}{8}+\frac{1}{4}$$

Whakaoti mō y

$$y=8x-2$$

Ngā Upane Otinga

Hei kimi i te tauaro o 3y+4x, kimihia te tauaro o ia taurangi.

$$2-3y-4x=4\left(x-y\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x-y.

$$2-3y-4x=4x-4y$$

Me tāpiri te 4y ki ngā taha e rua.

$$2-3y-4x+4y=4x$$

Pahekotia te -3y me 4y, ka y.

$$2+y-4x=4x$$

Tangohia te 2 mai i ngā taha e rua.

$$y-4x=4x-2$$

Me tāpiri te 4x ki ngā taha e rua.

$$y=4x-2+4x$$

Pahekotia te 4x me 4x, ka 8x.

$$y=8x-2$$