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Whakaoti mō x, y, z
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Tohaina

x=-y-z+5
Me whakaoti te x+y+z=5 mō x.
2\left(-y-z+5\right)-y+z=9 -y-z+5-2y+3z=16
Whakakapia te -y-z+5 mō te x i te whārite tuarua me te tuatoru.
y=\frac{1}{3}-\frac{1}{3}z z=\frac{3}{2}y+\frac{11}{2}
Me whakaoti ēnei whārite mō y me z takitahi.
z=\frac{3}{2}\left(\frac{1}{3}-\frac{1}{3}z\right)+\frac{11}{2}
Whakakapia te \frac{1}{3}-\frac{1}{3}z mō te y i te whārite z=\frac{3}{2}y+\frac{11}{2}.
z=4
Me whakaoti te z=\frac{3}{2}\left(\frac{1}{3}-\frac{1}{3}z\right)+\frac{11}{2} mō z.
y=\frac{1}{3}-\frac{1}{3}\times 4
Whakakapia te 4 mō te z i te whārite y=\frac{1}{3}-\frac{1}{3}z.
y=-1
Tātaitia te y i te y=\frac{1}{3}-\frac{1}{3}\times 4.
x=-\left(-1\right)-4+5
Whakakapia te -1 mō te y me te 4 mō z i te whārite x=-y-z+5.
x=2
Tātaitia te x i te x=-\left(-1\right)-4+5.
x=2 y=-1 z=4
Kua oti te pūnaha te whakatau.