Whakaoti i te {l}{x+y+z=6}{x+2y+3z=14}{x+3y+9z=-34}

$$\left. \begin{array} { l } { x + y + z = 6 } \\ { x + 2 y + 3 z = 14 } \\ { x + 3 y + 9 z = - 34 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=-16$$

$$y=36$$

$$z=-14$$

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.

$$-y-z+6+2y+3z=14 -y-z+6+3y+9z=-34$$

Me whakaoti ēnei whārite mō y me z takitahi.

$$y=8-2z z=-5-\frac{1}{4}y$$

Whakakapia te 8-2z mō te y i te whārite z=-5-\frac{1}{4}y.

$$z=-5-\frac{1}{4}\left(8-2z\right)$$

Me whakaoti te z=-5-\frac{1}{4}\left(8-2z\right) mō z.

$$z=-14$$

Whakakapia te -14 mō te z i te whārite y=8-2z.

$$y=8-2\left(-14\right)$$

Tātaitia te y i te y=8-2\left(-14\right).

$$y=36$$

Whakakapia te 36 mō te y me te -14 mō z i te whārite x=-y-z+6.

$$x=-36-\left(-14\right)+6$$

Tātaitia te x i te x=-36-\left(-14\right)+6.

$$x=-16$$

Kua oti te pūnaha te whakatau.

$$x=-16 y=36 z=-14$$