Whakaoti i te {l}{x+y+z=1}{x+2y+3z=6}{x+3y+4z=6}

$$\left. \begin{array} { l } { x + y + z = 1 } \\ { x + 2 y + 3 z = 6 } \\ { x + 3 y + 4 z = 6 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=1$$

$$y=-5$$

$$z=5$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+y+z=1 mō x.

$$x=-y-z+1$$

Whakakapia te -y-z+1 mō te x i te whārite tuarua me te tuatoru.

$$-y-z+1+2y+3z=6 -y-z+1+3y+4z=6$$

Me whakaoti ēnei whārite mō y me z takitahi.

$$y=-2z+5 z=-\frac{2}{3}y+\frac{5}{3}$$

Whakakapia te -2z+5 mō te y i te whārite z=-\frac{2}{3}y+\frac{5}{3}.

$$z=-\frac{2}{3}\left(-2z+5\right)+\frac{5}{3}$$

Me whakaoti te z=-\frac{2}{3}\left(-2z+5\right)+\frac{5}{3} mō z.

$$z=5$$

Whakakapia te 5 mō te z i te whārite y=-2z+5.

$$y=-2\times 5+5$$

Tātaitia te y i te y=-2\times 5+5.

$$y=-5$$

Whakakapia te -5 mō te y me te 5 mō z i te whārite x=-y-z+1.

$$x=-\left(-5\right)-5+1$$

Tātaitia te x i te x=-\left(-5\right)-5+1.

$$x=1$$

Kua oti te pūnaha te whakatau.

$$x=1 y=-5 z=5$$