Whakaoti i te {l}{x-y=1}{2x+6y-5z=-4}{x+y-z=0}

$$\left.\begin{array} { l } { x - y = 1 } \\ { 2 x + 6 y - 5 z = - 4 } \\ { x + y - z = 0 } \end{array} \right\}$$

Whakaoti mō x, y, z

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

$$y=\frac{1}{2}=0.5$$

$$z=2$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x-y=1 mō x.

$$x=y+1$$

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

$$2\left(y+1\right)+6y-5z=-4 y+1+y-z=0$$

Me whakaoti ēnei whārite mō y me z takitahi.

$$y=-\frac{3}{4}+\frac{5}{8}z z=2y+1$$

Whakakapia te -\frac{3}{4}+\frac{5}{8}z mō te y i te whārite z=2y+1.

$$z=2\left(-\frac{3}{4}+\frac{5}{8}z\right)+1$$

Me whakaoti te z=2\left(-\frac{3}{4}+\frac{5}{8}z\right)+1 mō z.

$$z=2$$

Whakakapia te 2 mō te z i te whārite y=-\frac{3}{4}+\frac{5}{8}z.

$$y=-\frac{3}{4}+\frac{5}{8}\times 2$$

Tātaitia te y i te y=-\frac{3}{4}+\frac{5}{8}\times 2.

$$y=\frac{1}{2}$$

Whakakapia te \frac{1}{2} mō te y i te whārite x=y+1.

$$x=\frac{1}{2}+1$$

Tātaitia te x i te x=\frac{1}{2}+1.

$$x=\frac{3}{2}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{3}{2} y=\frac{1}{2} z=2$$