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Whakaoti mō x, y, z
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Tohaina

x=-y-z+3
Me whakaoti te x+y+z=3 mō x.
2\left(-y-z+3\right)+y=3 z-y-z+3=2
Whakakapia te -y-z+3 mō te x i te whārite tuarua me te tuatoru.
z=-\frac{1}{2}y+\frac{3}{2} y=1
Me whakaoti ēnei whārite mō z me y takitahi.
z=-\frac{1}{2}+\frac{3}{2}
Whakakapia te 1 mō te y i te whārite z=-\frac{1}{2}y+\frac{3}{2}.
z=1
Tātaitia te z i te z=-\frac{1}{2}+\frac{3}{2}.
x=-1-1+3
Whakakapia te 1 mō te z me te 1 mō y i te whārite x=-y-z+3.
x=1
Tātaitia te x i te x=-1-1+3.
x=1 y=1 z=1
Kua oti te pūnaha te whakatau.