Whakaoti i te {l}{{(x-7)}{(x+3)}-2{(x+1)}{(x-4)}=-{(x-1)}{(x+3)}}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { {(x - 7)} {(x + 3)} - 2 {(x + 1)} {(x - 4)} = -{(x - 1)} {(x + 3)} }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Whakaoti mō x, y, z

$$z=4$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakamahia te āhuatanga tuaritanga hei whakarea te x-7 ki te x+3 ka whakakotahi i ngā kupu rite.

$$x^{2}-4x-21-2\left(x+1\right)\left(x-4\right)=\left(-\left(x-1\right)\right)\left(x+3\right)$$

Hei kimi i te tauaro o x-1, kimihia te tauaro o ia taurangi.

$$x^{2}-4x-21-2\left(x+1\right)\left(x-4\right)=\left(-x+1\right)\left(x+3\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te -x+1 ki te x+3 ka whakakotahi i ngā kupu rite.

$$x^{2}-4x-21-2\left(x+1\right)\left(x-4\right)=-x^{2}-2x+3$$

Me tāpiri te x^{2} ki ngā taha e rua.

$$x^{2}-4x-21-2\left(x+1\right)\left(x-4\right)+x^{2}=-2x+3$$

Me tāpiri te 2x ki ngā taha e rua.

$$x^{2}-4x-21-2\left(x+1\right)\left(x-4\right)+x^{2}+2x=3$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x+1.

$$x^{2}-4x-21+\left(-2x-2\right)\left(x-4\right)+x^{2}+2x=3$$

Whakamahia te āhuatanga tuaritanga hei whakarea te -2x-2 ki te x-4 ka whakakotahi i ngā kupu rite.

$$x^{2}-4x-21-2x^{2}+6x+8+x^{2}+2x=3$$

Pahekotia te x^{2} me -2x^{2}, ka -x^{2}.

$$-x^{2}-4x-21+6x+8+x^{2}+2x=3$$

Pahekotia te -4x me 6x, ka 2x.

$$-x^{2}+2x-21+8+x^{2}+2x=3$$

Tāpirihia te -21 ki te 8, ka -13.

$$-x^{2}+2x-13+x^{2}+2x=3$$

Pahekotia te -x^{2} me x^{2}, ka 0.

$$2x-13+2x=3$$

Pahekotia te 2x me 2x, ka 4x.

$$4x-13=3$$

Me tāpiri te 13 ki ngā taha e rua.

$$4x=3+13$$

Tāpirihia te 3 ki te 13, ka 16.

$$4x=16$$

Whakawehea ngā taha e rua ki te 4.

$$x=\frac{16}{4}$$

Whakawehea te 16 ki te 4, kia riro ko 4.

$$x=4$$

Whakaarohia te whārite tuarua. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$y=4$$

Whakaarohia te whārite tuatoru. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$z=4$$

Kua oti te pūnaha te whakatau.

$$x=4 y=4 z=4$$