Whakaoti i te {l}{x+y+z=100}{x-y=2}{y-z=4}

$$\left. \begin{array} { l } { x + y + z = 100 } \\ { x - y = 2 } \\ { y - z = 4 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=36$$

$$y=34$$

$$z=30$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+y+z=100 mō x.

$$x=-y-z+100$$

Whakakapia te -y-z+100 mō te x i te whārite x-y=2.

$$-y-z+100-y=2$$

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

$$y=-\frac{1}{2}z+49 z=y-4$$

Whakakapia te -\frac{1}{2}z+49 mō te y i te whārite z=y-4.

$$z=-\frac{1}{2}z+49-4$$

Me whakaoti te z=-\frac{1}{2}z+49-4 mō z.

$$z=30$$

Whakakapia te 30 mō te z i te whārite y=-\frac{1}{2}z+49.

$$y=-\frac{1}{2}\times 30+49$$

Tātaitia te y i te y=-\frac{1}{2}\times 30+49.

$$y=34$$

Whakakapia te 34 mō te y me te 30 mō z i te whārite x=-y-z+100.

$$x=-34-30+100$$

Tātaitia te x i te x=-34-30+100.

$$x=36$$

Kua oti te pūnaha te whakatau.

$$x=36 y=34 z=30$$