Whakaoti i te {l}{5x+5y+z=-30}{5x-4y-z=-11}{2x+y+5z=-34}

$$\left. \begin{array} { l } { 5 x + 5 y + z = - 30 } \\ { 5 x - 4 y - z = - 11 } \\ { 2 x + y + 5 z = - 34 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=-4$$

$$y=-1$$

$$z=-5$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te 5x+5y+z=-30 mō z.

$$z=-30-5x-5y$$

Whakakapia te -30-5x-5y mō te z i te whārite tuarua me te tuatoru.

$$5x-4y-\left(-30-5x-5y\right)=-11 2x+y+5\left(-30-5x-5y\right)=-34$$

Me whakaoti ēnei whārite mō y me x takitahi.

$$y=-10x-41 x=-\frac{116}{23}-\frac{24}{23}y$$

Whakakapia te -10x-41 mō te y i te whārite x=-\frac{116}{23}-\frac{24}{23}y.

$$x=-\frac{116}{23}-\frac{24}{23}\left(-10x-41\right)$$

Me whakaoti te x=-\frac{116}{23}-\frac{24}{23}\left(-10x-41\right) mō x.

$$x=-4$$

Whakakapia te -4 mō te x i te whārite y=-10x-41.

$$y=-10\left(-4\right)-41$$

Tātaitia te y i te y=-10\left(-4\right)-41.

$$y=-1$$

Whakakapia te -1 mō te y me te -4 mō x i te whārite z=-30-5x-5y.

$$z=-30-5\left(-4\right)-5\left(-1\right)$$

Tātaitia te z i te z=-30-5\left(-4\right)-5\left(-1\right).

$$z=-5$$

Kua oti te pūnaha te whakatau.

$$x=-4 y=-1 z=-5$$