a/5+b/4+c/3=0.4(1)a/4+b/3+c/2=0.5(2)a/3+b/2+c=1(3),123組成三元一次方程組求a b c

a/5+b/4+c/3=0.4(1)a/4+b/3+c/2=0.5(2)a/3+b/2+c=1(3),123組成三元一次方程組求a b c

a=12,b= -12,c= 3
先通分,得12a+15b+20c=24,3a+4b+6c=6,2a+4b+6c=6.
兩兩相减,得b+4c=0,b+6c=6.
整理可得a=12,b=-12,c=3.