Whakaoti i te {l}{-5x-y+5z=1}{-4y+2z=-4}{7x+5y+5z=-53}

$$\left. \begin{array}{l}{ - 5 x - y + 5 z = 1 }\\{ - 4 y + 2 z = - 4 }\\{ 7 x + 5 y + 5 z = - 53 }\end{array} \right.$$

Whakaoti mō x, y, z

$$x=-4$$

$$y=-1$$

$$z=-4$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te -5x-y+5z=1 mō y.

$$y=-5x+5z-1$$

Whakakapia te -5x+5z-1 mō te y i te whārite tuarua me te tuatoru.

$$-4\left(-5x+5z-1\right)+2z=-4 7x+5\left(-5x+5z-1\right)+5z=-53$$

Me whakaoti ēnei whārite mō x me z takitahi.

$$x=-\frac{2}{5}+\frac{9}{10}z z=-\frac{8}{5}+\frac{3}{5}x$$

Whakakapia te -\frac{2}{5}+\frac{9}{10}z mō te x i te whārite z=-\frac{8}{5}+\frac{3}{5}x.

$$z=-\frac{8}{5}+\frac{3}{5}\left(-\frac{2}{5}+\frac{9}{10}z\right)$$

Me whakaoti te z=-\frac{8}{5}+\frac{3}{5}\left(-\frac{2}{5}+\frac{9}{10}z\right) mō z.

$$z=-4$$

Whakakapia te -4 mō te z i te whārite x=-\frac{2}{5}+\frac{9}{10}z.

$$x=-\frac{2}{5}+\frac{9}{10}\left(-4\right)$$

Tātaitia te x i te x=-\frac{2}{5}+\frac{9}{10}\left(-4\right).

$$x=-4$$

Whakakapia te -4 mō te x me te -4 mō z i te whārite y=-5x+5z-1.

$$y=-5\left(-4\right)+5\left(-4\right)-1$$

Tātaitia te y i te y=-5\left(-4\right)+5\left(-4\right)-1.

$$y=-1$$

Kua oti te pūnaha te whakatau.

$$x=-4 y=-1 z=-4$$