Whakaoti i te x(y-2)-y(x-3)=-14

$$x(y-2)-y(x-3)=-14$$

Whakaoti mō x

$$x=\frac{3y}{2}+7$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$xy-2x-y\left(x-3\right)=-14$$

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

$$xy-2x-\left(yx-3y\right)=-14$$

Hei kimi i te tauaro o yx-3y, kimihia te tauaro o ia taurangi.

$$xy-2x-yx+3y=-14$$

Pahekotia te xy me -yx, ka 0.

$$-2x+3y=-14$$

Tangohia te 3y mai i ngā taha e rua.

$$-2x=-14-3y$$

He hanga arowhānui tō te whārite.

$$-2x=-3y-14$$

Whakawehea ngā taha e rua ki te -2.

$$\frac{-2x}{-2}=\frac{-3y-14}{-2}$$

Mā te whakawehe ki te -2 ka wetekia te whakareanga ki te -2.

$$x=\frac{-3y-14}{-2}$$

Whakawehe -14-3y ki te -2.

$$x=\frac{3y}{2}+7$$

Whakaoti mō y

$$y=\frac{2\left(x-7\right)}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$xy-2x-y\left(x-3\right)=-14$$

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

$$xy-2x-\left(yx-3y\right)=-14$$

Hei kimi i te tauaro o yx-3y, kimihia te tauaro o ia taurangi.

$$xy-2x-yx+3y=-14$$

Pahekotia te xy me -yx, ka 0.

$$-2x+3y=-14$$

Me tāpiri te 2x ki ngā taha e rua.

$$3y=-14+2x$$

He hanga arowhānui tō te whārite.

$$3y=2x-14$$

Whakawehea ngā taha e rua ki te 3.

$$\frac{3y}{3}=\frac{2x-14}{3}$$

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

$$y=\frac{2x-14}{3}$$