2.3*x+2.7*y+2.9*z=30 求X Y Z (是整数) 急

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2.3*x+2.7*y+2.9*z=30 求X Y Z (是整数) 急

2.3*x+2.7*y+2.9*z=30 求X Y Z (是整数) 急
2.3*x+2.7*y+2.9*z=30 求X Y Z (是整数) 急

2.3*x+2.7*y+2.9*z=30 求X Y Z (是整数) 急
30(X+Y+Z)-7X-3Y-3Z=300
令x+y+z=10 则-7X-3Y-3Z=0 所以7X+3Y+3Z=0
x+y+z=10 (1)
7X+3Y+3Z=0 (2)
两式相减得6X+2Y=-10
易得X=-2 Y=1
带入1式得Z=11

6,6,0;-60,30,30;0,-150,150;-75,75,0;-150,300,-150;-50,0,50;7,3,2;8,0,4;5,9,-2

30(X+Y+Z)-7X-3Y-3Z=300
令x+y+z=10 则-7X-3Y-3Z=0 所以7X+3Y+3Z=0
x+y+z=10 (1)
7X+3Y+3Z=0 (2)
两式相减得6X+2Y=-10
易得X=-2 Y=1
带入1式得Z=11

x 7
y 5
z 2