Whakaoti i te {l}{(y+z+2x=33}{x-y+2/5=z+4}{y-z+4/2=x-6}{z-x-7/3=y-5}

$$\left. \begin{array} { l } { ( y + z + 2 x = 33 } \\ { x - \frac { y + 2 } { 5 } = z + 4 } \\ { y - \frac { z + 4 } { 2 } = x - 6 } \\ { z - \frac { x - 7 } { 3 } = y - 5 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=10$$

$$y=8$$

$$z=4$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakarea ia whārite mā te taurea pātahi iti rawa o ngā tauraro kei roto. Whakarūnātia.

$$-2+5x-y=5z+20 -4+2y-z=2x-12 7+3z-x=3y-15$$

Me whakaoti te -2+5x-y=5z+20 mō y.

$$y=-22+5x-5z$$

Whakakapia te -22+5x-5z mō te y i te whārite tuarua me te tuatoru.

$$-4+2\left(-22+5x-5z\right)-z=2x-12 7+3z-x=3\left(-22+5x-5z\right)-15$$

Me whakaoti ēnei whārite mō x me z takitahi.

$$x=\frac{9}{2}+\frac{11}{8}z z=-\frac{44}{9}+\frac{8}{9}x$$

Whakakapia te \frac{9}{2}+\frac{11}{8}z mō te x i te whārite z=-\frac{44}{9}+\frac{8}{9}x.

$$z=-\frac{44}{9}+\frac{8}{9}\left(\frac{9}{2}+\frac{11}{8}z\right)$$

Me whakaoti te z=-\frac{44}{9}+\frac{8}{9}\left(\frac{9}{2}+\frac{11}{8}z\right) mō z.

$$z=4$$

Whakakapia te 4 mō te z i te whārite x=\frac{9}{2}+\frac{11}{8}z.

$$x=\frac{9}{2}+\frac{11}{8}\times 4$$

Tātaitia te x i te x=\frac{9}{2}+\frac{11}{8}\times 4.

$$x=10$$

Whakakapia te 10 mō te x me te 4 mō z i te whārite y=-22+5x-5z.

$$y=-22+5\times 10-5\times 4$$

Tātaitia te y i te y=-22+5\times 10-5\times 4.

$$y=8$$

Kua oti te pūnaha te whakatau.

$$x=10 y=8 z=4$$