Whakaoti i te x-(z+1)*x+3z-6=0

$$x-(z+1) \times x+3z-6=0$$

Whakaoti mō x

$$x=3-\frac{6}{z}$$

$$z\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te z+1 ki te x.

$$x-\left(zx+x\right)+3z-6=0$$

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

$$x-zx-x+3z-6=0$$

Pahekotia te x me -x, ka 0.

$$-zx+3z-6=0$$

Tangohia te 3z mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-zx-6=-3z$$

Me tāpiri te 6 ki ngā taha e rua.

$$-zx=-3z+6$$

He hanga arowhānui tō te whārite.

$$\left(-z\right)x=6-3z$$

Whakawehea ngā taha e rua ki te -z.

$$\frac{\left(-z\right)x}{-z}=\frac{6-3z}{-z}$$

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

$$x=\frac{6-3z}{-z}$$

Whakawehe -3z+6 ki te -z.

$$x=3-\frac{6}{z}$$

Whakaoti mō z

$$z=\frac{6}{3-x}$$

$$x\neq 3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te z+1 ki te x.

$$x-\left(zx+x\right)+3z-6=0$$

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

$$x-zx-x+3z-6=0$$

Pahekotia te x me -x, ka 0.

$$-zx+3z-6=0$$

Me tāpiri te 6 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$-zx+3z=6$$

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

$$\left(-x+3\right)z=6$$

He hanga arowhānui tō te whārite.

$$\left(3-x\right)z=6$$

Whakawehea ngā taha e rua ki te -x+3.

$$\frac{\left(3-x\right)z}{3-x}=\frac{6}{3-x}$$

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

$$z=\frac{6}{3-x}$$