Whakaoti i te {l}{x+y+z=22}{3x+y=47}{x-4z=2}

$$\left\{ \begin{array} { l } { x + y + z = 22 } \\ { 3 x + y = 47 } \\ { x - 4 z = 2 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=14$$

$$y=5$$

$$z=3$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+y+z=22 mō x.

$$x=-y-z+22$$

Whakakapia te -y-z+22 mō te x i te whārite tuarua me te tuatoru.

$$3\left(-y-z+22\right)+y=47 -y-z+22-4z=2$$

Me whakaoti ēnei whārite mō y me z takitahi.

$$y=-\frac{3}{2}z+\frac{19}{2} z=-\frac{1}{5}y+4$$

Whakakapia te -\frac{3}{2}z+\frac{19}{2} mō te y i te whārite z=-\frac{1}{5}y+4.

$$z=-\frac{1}{5}\left(-\frac{3}{2}z+\frac{19}{2}\right)+4$$

Me whakaoti te z=-\frac{1}{5}\left(-\frac{3}{2}z+\frac{19}{2}\right)+4 mō z.

$$z=3$$

Whakakapia te 3 mō te z i te whārite y=-\frac{3}{2}z+\frac{19}{2}.

$$y=-\frac{3}{2}\times 3+\frac{19}{2}$$

Tātaitia te y i te y=-\frac{3}{2}\times 3+\frac{19}{2}.

$$y=5$$

Whakakapia te 5 mō te y me te 3 mō z i te whārite x=-y-z+22.

$$x=-5-3+22$$

Tātaitia te x i te x=-5-3+22.

$$x=14$$

Kua oti te pūnaha te whakatau.

$$x=14 y=5 z=3$$