\left\{ \begin{array} { l } { x + y + z = 1000 } \\ { 2 x + y + 4 z = 2000 } \\ { 2 x + 3 y + 5 z = 2500 } \end{array} \right.
Whakaoti mō x, y, z
x=700
y=200
z=100
Tohaina
Kua tāruatia ki te papatopenga
x=-y-z+1000
Me whakaoti te x+y+z=1000 mō x.
2\left(-y-z+1000\right)+y+4z=2000 2\left(-y-z+1000\right)+3y+5z=2500
Whakakapia te -y-z+1000 mō te x i te whārite tuarua me te tuatoru.
y=2z z=-\frac{1}{3}y+\frac{500}{3}
Me whakaoti ēnei whārite mō y me z takitahi.
z=-\frac{1}{3}\times 2z+\frac{500}{3}
Whakakapia te 2z mō te y i te whārite z=-\frac{1}{3}y+\frac{500}{3}.
z=100
Me whakaoti te z=-\frac{1}{3}\times 2z+\frac{500}{3} mō z.
y=2\times 100
Whakakapia te 100 mō te z i te whārite y=2z.
y=200
Tātaitia te y i te y=2\times 100.
x=-200-100+1000
Whakakapia te 200 mō te y me te 100 mō z i te whārite x=-y-z+1000.
x=700
Tātaitia te x i te x=-200-100+1000.
x=700 y=200 z=100
Kua oti te pūnaha te whakatau.
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