Whakaoti i te {l}{x+y+z=21}{10x=2*15y}{10x=2*12z}

$$\left. \begin{array} { l } { x + y + z = 21 } \\ { 10 x = 2 \times 15 y } \\ { 10 x = 2 \times 12 z } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=12$$

$$y=4$$

$$z=5$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+y+z=21 mō x.

$$x=-y-z+21$$

Whakakapia te -y-z+21 mō te x i te whārite tuarua me te tuatoru.

$$10\left(-y-z+21\right)=2\times 15y 10\left(-y-z+21\right)=2\times 12z$$

Me whakaoti ēnei whārite mō y me z takitahi.

$$y=\frac{21}{4}-\frac{1}{4}z z=\frac{105}{17}-\frac{5}{17}y$$

Whakakapia te \frac{21}{4}-\frac{1}{4}z mō te y i te whārite z=\frac{105}{17}-\frac{5}{17}y.

$$z=\frac{105}{17}-\frac{5}{17}\left(\frac{21}{4}-\frac{1}{4}z\right)$$

Me whakaoti te z=\frac{105}{17}-\frac{5}{17}\left(\frac{21}{4}-\frac{1}{4}z\right) mō z.

$$z=5$$

Whakakapia te 5 mō te z i te whārite y=\frac{21}{4}-\frac{1}{4}z.

$$y=\frac{21}{4}-\frac{1}{4}\times 5$$

Tātaitia te y i te y=\frac{21}{4}-\frac{1}{4}\times 5.

$$y=4$$

Whakakapia te 4 mō te y me te 5 mō z i te whārite x=-y-z+21.

$$x=-4-5+21$$

Tātaitia te x i te x=-4-5+21.

$$x=12$$

Kua oti te pūnaha te whakatau.

$$x=12 y=4 z=5$$