Whakaoti i te {l}{2x-5y=4}{3y+2z=-3}{7x-3z=1}

$$\left. \begin{array} { l } { 2 x - 5 y = 4 } \\ { 3 y + 2 z = - 3 } \\ { 7 x - 3 z = 1 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=\frac{1}{88}\approx 0.011363636$$

$$y=-\frac{35}{44}\approx -0.795454545$$

$$z=-\frac{27}{88}\approx -0.306818182$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te 2x-5y=4 mō x.

$$x=\frac{5}{2}y+2$$

Whakakapia te \frac{5}{2}y+2 mō te x i te whārite 7x-3z=1.

$$7\left(\frac{5}{2}y+2\right)-3z=1$$

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

$$y=-\frac{2}{3}z-1 z=\frac{13}{3}+\frac{35}{6}y$$

Whakakapia te -\frac{2}{3}z-1 mō te y i te whārite z=\frac{13}{3}+\frac{35}{6}y.

$$z=\frac{13}{3}+\frac{35}{6}\left(-\frac{2}{3}z-1\right)$$

Me whakaoti te z=\frac{13}{3}+\frac{35}{6}\left(-\frac{2}{3}z-1\right) mō z.

$$z=-\frac{27}{88}$$

Whakakapia te -\frac{27}{88} mō te z i te whārite y=-\frac{2}{3}z-1.

$$y=-\frac{2}{3}\left(-\frac{27}{88}\right)-1$$

Tātaitia te y i te y=-\frac{2}{3}\left(-\frac{27}{88}\right)-1.

$$y=-\frac{35}{44}$$

Whakakapia te -\frac{35}{44} mō te y i te whārite x=\frac{5}{2}y+2.

$$x=\frac{5}{2}\left(-\frac{35}{44}\right)+2$$

Tātaitia te x i te x=\frac{5}{2}\left(-\frac{35}{44}\right)+2.

$$x=\frac{1}{88}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{1}{88} y=-\frac{35}{44} z=-\frac{27}{88}$$