\left\{ \begin{array} { l } { x + 2 y + 3 z = 0 } \\ { 2 x + 3 y + 5 z = 1 } \\ { 2 y + z = 2 } \end{array} \right.
Whakaoti mō x, y, z
x=6
y=3
z=-4
Tohaina
Kua tāruatia ki te papatopenga
x=-2y-3z
Me whakaoti te x+2y+3z=0 mō x.
2\left(-2y-3z\right)+3y+5z=1
Whakakapia te -2y-3z mō te x i te whārite 2x+3y+5z=1.
y=-z-1 z=2-2y
Me whakaoti te whārite tuarua mō y me te whārite tuatoru mō z.
z=2-2\left(-z-1\right)
Whakakapia te -z-1 mō te y i te whārite z=2-2y.
z=-4
Me whakaoti te z=2-2\left(-z-1\right) mō z.
y=-\left(-4\right)-1
Whakakapia te -4 mō te z i te whārite y=-z-1.
y=3
Tātaitia te y i te y=-\left(-4\right)-1.
x=-2\times 3-3\left(-4\right)
Whakakapia te 3 mō te y me te -4 mō z i te whārite x=-2y-3z.
x=6
Tātaitia te x i te x=-2\times 3-3\left(-4\right).
x=6 y=3 z=-4
Kua oti te pūnaha te whakatau.
Ngā Tauira
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