\left\{ \begin{array} { l } { x + y - z = 11 } \\ { - 2 x + 3 y - z = 9 } \\ { x - 2 y + z = 7 } \end{array} \right.
Whakaoti mō x, y, z
x=34
y=50
z=73
Tohaina
Kua tāruatia ki te papatopenga
x=-y+z+11
Me whakaoti te x+y-z=11 mō x.
-2\left(-y+z+11\right)+3y-z=9 -y+z+11-2y+z=7
Whakakapia te -y+z+11 mō te x i te whārite tuarua me te tuatoru.
y=\frac{3}{5}z+\frac{31}{5} z=\frac{3}{2}y-2
Me whakaoti ēnei whārite mō y me z takitahi.
z=\frac{3}{2}\left(\frac{3}{5}z+\frac{31}{5}\right)-2
Whakakapia te \frac{3}{5}z+\frac{31}{5} mō te y i te whārite z=\frac{3}{2}y-2.
z=73
Me whakaoti te z=\frac{3}{2}\left(\frac{3}{5}z+\frac{31}{5}\right)-2 mō z.
y=\frac{3}{5}\times 73+\frac{31}{5}
Whakakapia te 73 mō te z i te whārite y=\frac{3}{5}z+\frac{31}{5}.
y=50
Tātaitia te y i te y=\frac{3}{5}\times 73+\frac{31}{5}.
x=-50+73+11
Whakakapia te 50 mō te y me te 73 mō z i te whārite x=-y+z+11.
x=34
Tātaitia te x i te x=-50+73+11.
x=34 y=50 z=73
Kua oti te pūnaha te whakatau.
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