Whakaoti i te {l}{x+y+z=7}{3=-2y}{3x+6y-2z=0}

$$\left\{ \begin{array} { l } { x + y + z = 7 } \\ { 3 = - 2 y } \\ { 3 x + 6 y - 2 z = 0 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x = \frac{26}{5} = 5\frac{1}{5} = 5.2$$

$$y = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

$$z = \frac{33}{10} = 3\frac{3}{10} = 3.3$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+y+z=7 mō x.

$$x=-y-z+7$$

Whakakapia te -y-z+7 mō te x i te whārite 3x+6y-2z=0.

$$3\left(-y-z+7\right)+6y-2z=0$$

Me whakaoti te whārite tuarua mō y me te whārite tuatoru mō z.

$$y=-\frac{3}{2} z=\frac{21}{5}+\frac{3}{5}y$$

Whakakapia te -\frac{3}{2} mō te y i te whārite z=\frac{21}{5}+\frac{3}{5}y.

$$z=\frac{21}{5}+\frac{3}{5}\left(-\frac{3}{2}\right)$$

Tātaitia te z i te z=\frac{21}{5}+\frac{3}{5}\left(-\frac{3}{2}\right).

$$z=\frac{33}{10}$$

Whakakapia te -\frac{3}{2} mō te y me te \frac{33}{10} mō z i te whārite x=-y-z+7.

$$x=-\left(-\frac{3}{2}\right)-\frac{33}{10}+7$$

Tātaitia te x i te x=-\left(-\frac{3}{2}\right)-\frac{33}{10}+7.

$$x=\frac{26}{5}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{26}{5} y=-\frac{3}{2} z=\frac{33}{10}$$