\left\{ \begin{array} { l } { x + 2 y + 3 z = 9 } \\ { 2 x - y + z = 8 } \\ { 3 x - z = 3 } \end{array} \right.
Whakaoti mō x, y, z
x=2
y=-1
z=3
Tohaina
Kua tāruatia ki te papatopenga
x=-2y-3z+9
Me whakaoti te x+2y+3z=9 mō x.
2\left(-2y-3z+9\right)-y+z=8 3\left(-2y-3z+9\right)-z=3
Whakakapia te -2y-3z+9 mō te x i te whārite tuarua me te tuatoru.
y=2-z z=\frac{12}{5}-\frac{3}{5}y
Me whakaoti ēnei whārite mō y me z takitahi.
z=\frac{12}{5}-\frac{3}{5}\left(2-z\right)
Whakakapia te 2-z mō te y i te whārite z=\frac{12}{5}-\frac{3}{5}y.
z=3
Me whakaoti te z=\frac{12}{5}-\frac{3}{5}\left(2-z\right) mō z.
y=2-3
Whakakapia te 3 mō te z i te whārite y=2-z.
y=-1
Tātaitia te y i te y=2-3.
x=-2\left(-1\right)-3\times 3+9
Whakakapia te -1 mō te y me te 3 mō z i te whārite x=-2y-3z+9.
x=2
Tātaitia te x i te x=-2\left(-1\right)-3\times 3+9.
x=2 y=-1 z=3
Kua oti te pūnaha te whakatau.
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