Whakaoti i te {l}{8y+2z=-7}{3x+5y+2z=8}{6x+2y+8z=26}

$$\left. \begin{array} { l } { 8 y + 2 z = - 7 } \\ { 3 x + 5 y + 2 z = 8 } \\ { 6 x + 2 y + 8 z = 26 } \end{array} \right.$$

Whakaoti mō y, z, x

$$x=4$$

$$y=-1$$

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

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te 8y+2z=-7 mō y.

$$y=-\frac{1}{4}z-\frac{7}{8}$$

Whakakapia te -\frac{1}{4}z-\frac{7}{8} mō te y i te whārite tuarua me te tuatoru.

$$3x+5\left(-\frac{1}{4}z-\frac{7}{8}\right)+2z=8 6x+2\left(-\frac{1}{4}z-\frac{7}{8}\right)+8z=26$$

Me whakaoti ēnei whārite mō z me x takitahi.

$$z=\frac{33}{2}-4x x=\frac{37}{8}-\frac{5}{4}z$$

Whakakapia te \frac{33}{2}-4x mō te z i te whārite x=\frac{37}{8}-\frac{5}{4}z.

$$x=\frac{37}{8}-\frac{5}{4}\left(\frac{33}{2}-4x\right)$$

Me whakaoti te x=\frac{37}{8}-\frac{5}{4}\left(\frac{33}{2}-4x\right) mō x.

$$x=4$$

Whakakapia te 4 mō te x i te whārite z=\frac{33}{2}-4x.

$$z=\frac{33}{2}-4\times 4$$

Tātaitia te z i te z=\frac{33}{2}-4\times 4.

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

Whakakapia te \frac{1}{2} mō te z i te whārite y=-\frac{1}{4}z-\frac{7}{8}.

$$y=-\frac{1}{4}\times \frac{1}{2}-\frac{7}{8}$$

Tātaitia te y i te y=-\frac{1}{4}\times \frac{1}{2}-\frac{7}{8}.

$$y=-1$$

Kua oti te pūnaha te whakatau.

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