Whakaoti i te {l}{2x+4y-12z=0}{x+y+2z=26}{3x-3y+3z=30}

$$\left. \begin{array} { l } { 2 x + 4 y - 12 z = 0 } \\ { x + y + 2 z = 26 } \\ { 3 x - 3 y + 3 z = 30 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=12$$

$$y=6$$

$$z=4$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me raupapa anō ngā whārite.

$$x+y+2z=26 2x+4y-12z=0 3x-3y+3z=30$$

Me whakaoti te x+y+2z=26 mō x.

$$x=-y-2z+26$$

Whakakapia te -y-2z+26 mō te x i te whārite tuarua me te tuatoru.

$$2\left(-y-2z+26\right)+4y-12z=0 3\left(-y-2z+26\right)-3y+3z=30$$

Me whakaoti ēnei whārite mō y me z takitahi.

$$y=-26+8z z=16-2y$$

Whakakapia te -26+8z mō te y i te whārite z=16-2y.

$$z=16-2\left(-26+8z\right)$$

Me whakaoti te z=16-2\left(-26+8z\right) mō z.

$$z=4$$

Whakakapia te 4 mō te z i te whārite y=-26+8z.

$$y=-26+8\times 4$$

Tātaitia te y i te y=-26+8\times 4.

$$y=6$$

Whakakapia te 6 mō te y me te 4 mō z i te whārite x=-y-2z+26.

$$x=-6-2\times 4+26$$

Tātaitia te x i te x=-6-2\times 4+26.

$$x=12$$

Kua oti te pūnaha te whakatau.

$$x=12 y=6 z=4$$