Whakaoti i te {l}{x+y+z=78}{x=2y}{x+4=3z}

$$\left. \begin{array} { l } { x + y + z = 78 } \\ { x = 2 y } \\ { x + 4 = 3 z } \end{array} \right.$$

Whakaoti mō x, y, z

$$x = \frac{460}{11} = 41\frac{9}{11} \approx 41.818181818$$

$$y = \frac{230}{11} = 20\frac{10}{11} \approx 20.909090909$$

$$z = \frac{168}{11} = 15\frac{3}{11} \approx 15.272727273$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me raupapa anō ngā whārite.

$$x=2y x+y+z=78 x+4=3z$$

Whakakapia te 2y mō te x i te whārite tuarua me te tuatoru.

$$2y+y+z=78 2y+4=3z$$

Me whakaoti ēnei whārite mō y me z takitahi.

$$y=-\frac{1}{3}z+26 z=\frac{4}{3}+\frac{2}{3}y$$

Whakakapia te -\frac{1}{3}z+26 mō te y i te whārite z=\frac{4}{3}+\frac{2}{3}y.

$$z=\frac{4}{3}+\frac{2}{3}\left(-\frac{1}{3}z+26\right)$$

Me whakaoti te z=\frac{4}{3}+\frac{2}{3}\left(-\frac{1}{3}z+26\right) mō z.

$$z=\frac{168}{11}$$

Whakakapia te \frac{168}{11} mō te z i te whārite y=-\frac{1}{3}z+26.

$$y=-\frac{1}{3}\times \frac{168}{11}+26$$

Tātaitia te y i te y=-\frac{1}{3}\times \frac{168}{11}+26.

$$y=\frac{230}{11}$$

Whakakapia te \frac{230}{11} mō te y i te whārite x=2y.

$$x=2\times \frac{230}{11}$$

Tātaitia te x i te x=2\times \frac{230}{11}.

$$x=\frac{460}{11}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{460}{11} y=\frac{230}{11} z=\frac{168}{11}$$