Whakaoti i te -(y+z)+-(y+x)+-(x+z)=0

$$-(y+z)+-(y+x)+-(x+z)=0$$

Whakaoti mō x

$$x=-y-z$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei kimi i te tauaro o y+z, kimihia te tauaro o ia taurangi.

$$-y-z-\left(y+x\right)-\left(x+z\right)=0$$

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

$$-y-z-y-x-\left(x+z\right)=0$$

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

$$-2y-z-x-\left(x+z\right)=0$$

Hei kimi i te tauaro o x+z, kimihia te tauaro o ia taurangi.

$$-2y-z-x-x-z=0$$

Pahekotia te -x me -x, ka -2x.

$$-2y-z-2x-z=0$$

Pahekotia te -z me -z, ka -2z.

$$-2y-2z-2x=0$$

Me tāpiri te 2y ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$-2z-2x=2y$$

Me tāpiri te 2z ki ngā taha e rua.

$$-2x=2y+2z$$

Whakawehea ngā taha e rua ki te -2.

$$\frac{-2x}{-2}=\frac{2y+2z}{-2}$$

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

$$x=\frac{2y+2z}{-2}$$

Whakawehe 2y+2z ki te -2.

$$x=-\left(y+z\right)$$

Whakaoti mō y

$$y=-x-z$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei kimi i te tauaro o y+z, kimihia te tauaro o ia taurangi.

$$-y-z-\left(y+x\right)-\left(x+z\right)=0$$

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

$$-y-z-y-x-\left(x+z\right)=0$$

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

$$-2y-z-x-\left(x+z\right)=0$$

Hei kimi i te tauaro o x+z, kimihia te tauaro o ia taurangi.

$$-2y-z-x-x-z=0$$

Pahekotia te -x me -x, ka -2x.

$$-2y-z-2x-z=0$$

Pahekotia te -z me -z, ka -2z.

$$-2y-2z-2x=0$$

Me tāpiri te 2z ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$-2y-2x=2z$$

Me tāpiri te 2x ki ngā taha e rua.

$$-2y=2z+2x$$

He hanga arowhānui tō te whārite.

$$-2y=2x+2z$$

Whakawehea ngā taha e rua ki te -2.

$$\frac{-2y}{-2}=\frac{2x+2z}{-2}$$

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

$$y=\frac{2x+2z}{-2}$$

Whakawehe 2z+2x ki te -2.

$$y=-\left(x+z\right)$$