Whakaoti i te {l}{x+2y=3}{y-2z=-6}{-3x-5y+6z=-31}

$$\left\{ \begin{array}{l}{ x + 2 y = 3 }\\{ y - 2 z = - 6 }\\{ - 3 x - 5 y + 6 z = - 31 }\end{array} \right.$$

Whakaoti mō x, y, z

$$x=23$$

$$y=-10$$

$$z=-2$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+2y=3 mō x.

$$x=-2y+3$$

Whakakapia te -2y+3 mō te x i te whārite -3x-5y+6z=-31.

$$-3\left(-2y+3\right)-5y+6z=-31$$

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

$$y=-6+2z z=-\frac{1}{6}y-\frac{11}{3}$$

Whakakapia te -6+2z mō te y i te whārite z=-\frac{1}{6}y-\frac{11}{3}.

$$z=-\frac{1}{6}\left(-6+2z\right)-\frac{11}{3}$$

Me whakaoti te z=-\frac{1}{6}\left(-6+2z\right)-\frac{11}{3} mō z.

$$z=-2$$

Whakakapia te -2 mō te z i te whārite y=-6+2z.

$$y=-6+2\left(-2\right)$$

Tātaitia te y i te y=-6+2\left(-2\right).

$$y=-10$$

Whakakapia te -10 mō te y i te whārite x=-2y+3.

$$x=-2\left(-10\right)+3$$

Tātaitia te x i te x=-2\left(-10\right)+3.

$$x=23$$

Kua oti te pūnaha te whakatau.

$$x=23 y=-10 z=-2$$