Whakaoti i te {c}{x-z=-4}{4y-z=9}{2x+5y=13}

$$\left. \begin{array} { c } { x - z = - 4 } \\ { 4 y - z = 9 } \\ { 2 x + 5 y = 13 } \end{array} \right.$$

Whakaoti mō x, z, y

$$x=-1$$

$$y=3$$

$$z=3$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x-z=-4 mō x.

$$x=z-4$$

Whakakapia te z-4 mō te x i te whārite 2x+5y=13.

$$2\left(z-4\right)+5y=13$$

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

$$z=4y-9 y=-\frac{2}{5}z+\frac{21}{5}$$

Whakakapia te 4y-9 mō te z i te whārite y=-\frac{2}{5}z+\frac{21}{5}.

$$y=-\frac{2}{5}\left(4y-9\right)+\frac{21}{5}$$

Me whakaoti te y=-\frac{2}{5}\left(4y-9\right)+\frac{21}{5} mō y.

$$y=3$$

Whakakapia te 3 mō te y i te whārite z=4y-9.

$$z=4\times 3-9$$

Tātaitia te z i te z=4\times 3-9.

$$z=3$$

Whakakapia te 3 mō te z i te whārite x=z-4.

$$x=3-4$$

Tātaitia te x i te x=3-4.

$$x=-1$$

Kua oti te pūnaha te whakatau.

$$x=-1 z=3 y=3$$