Whakaoti i te {l}{x+y+z=6}{2x+4y+z=13}{-x-y+z=0}

$$\left. \begin{array} { l } { x + y + z = 6 } \\ { 2 x + 4 y + z = 13 } \\ { - x - y + z = 0 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=1$$

$$y=2$$

$$z=3$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+y+z=6 mō x.

$$x=-y-z+6$$

Whakakapia te -y-z+6 mō te x i te whārite tuarua me te tuatoru.

$$2\left(-y-z+6\right)+4y+z=13 -\left(-y-z+6\right)-y+z=0$$

Me whakaoti ēnei whārite mō y me z takitahi.

$$y=\frac{1}{2}+\frac{1}{2}z z=3$$

Whakakapia te 3 mō te z i te whārite y=\frac{1}{2}+\frac{1}{2}z.

$$y=\frac{1}{2}+\frac{1}{2}\times 3$$

Tātaitia te y i te y=\frac{1}{2}+\frac{1}{2}\times 3.

$$y=2$$

Whakakapia te 2 mō te y me te 3 mō z i te whārite x=-y-z+6.

$$x=-2-3+6$$

Tātaitia te x i te x=-2-3+6.

$$x=1$$

Kua oti te pūnaha te whakatau.

$$x=1 y=2 z=3$$