\left\{ \begin{array} { r } { 2 x + y - 2 z = - 1 } \\ { 3 x - 3 y = 5 + z } \\ { - 2 x + x + 3 z = 5 } \end{array} \right.
Whakaoti mō x, y, z
x = \frac{41}{20} = 2\frac{1}{20} = 2.05
y=-\frac{2}{5}=-0.4
z = \frac{47}{20} = 2\frac{7}{20} = 2.35
Tohaina
Kua tāruatia ki te papatopenga
y=-2x+2z-1
Me whakaoti te 2x+y-2z=-1 mō y.
3x-3\left(-2x+2z-1\right)=5+z
Whakakapia te -2x+2z-1 mō te y i te whārite 3x-3y=5+z.
x=\frac{7}{9}z+\frac{2}{9} z=\frac{5}{3}+\frac{1}{3}x
Me whakaoti te whārite tuarua mō x me te whārite tuatoru mō z.
z=\frac{5}{3}+\frac{1}{3}\left(\frac{7}{9}z+\frac{2}{9}\right)
Whakakapia te \frac{7}{9}z+\frac{2}{9} mō te x i te whārite z=\frac{5}{3}+\frac{1}{3}x.
z=\frac{47}{20}
Me whakaoti te z=\frac{5}{3}+\frac{1}{3}\left(\frac{7}{9}z+\frac{2}{9}\right) mō z.
x=\frac{7}{9}\times \frac{47}{20}+\frac{2}{9}
Whakakapia te \frac{47}{20} mō te z i te whārite x=\frac{7}{9}z+\frac{2}{9}.
x=\frac{41}{20}
Tātaitia te x i te x=\frac{7}{9}\times \frac{47}{20}+\frac{2}{9}.
y=-2\times \frac{41}{20}+2\times \frac{47}{20}-1
Whakakapia te \frac{41}{20} mō te x me te \frac{47}{20} mō z i te whārite y=-2x+2z-1.
y=-\frac{2}{5}
Tātaitia te y i te y=-2\times \frac{41}{20}+2\times \frac{47}{20}-1.
x=\frac{41}{20} y=-\frac{2}{5} z=\frac{47}{20}
Kua oti te pūnaha te whakatau.
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