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

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

Whakaoti mō x, y, z

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

$$y=1$$

$$z=-\frac{1}{2}=-0.5$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+y+z=3 mō x.

$$x=-y-z+3$$

Whakakapia te -y-z+3 mō te x i te whārite tuarua me te tuatoru.

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

Me whakaoti ēnei whārite mō y me z takitahi.

$$y=1 z=-\frac{1}{2}$$

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

$$x=-1-\left(-\frac{1}{2}\right)+3$$

Tātaitia te x i te x=-1-\left(-\frac{1}{2}\right)+3.

$$x=\frac{5}{2}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{5}{2} y=1 z=-\frac{1}{2}$$