将条件变形为:2a-b-c=260 (1)
a-3b+c=-260 (2) a+b-4c=-260 (3)
由(1)+(2):3a-4b=0 (4)
由(2)X4+(3):5a-11b=-1300 (5)
由(4)X5-(5)X3可求出b=300,进而a=400,c=240
a=1/2(b+c+d)
b=1/3(a+c+d)
c=1/4(a+b+d)
d=260
求a+b+c+d=
b+c+d=2a
a+c+d=3b
a+b+d=4c
b+c+d+a+c+d+a+b+d
=2a+3b+4c=2b+2c +2a +3d
= b+2c-3d=0
= b+2c-3d=0
= b+2c-780=0
a+b+c+d=