已知{4a-3b=6c,a+2b=7c.求代数式2a+3b+6c/a+5b+7c的值
问题描述:
已知{4a-3b=6c,a+2b=7c.求代数式2a+3b+6c/a+5b+7c的值
答
4a-3b=6c.(1)a+2b=7c.(2)(1)÷(2)得:(4a-3b)/(a+2b) = 6/728a-21b=6a+12b22a=33b2a=3b将6c=4a-3b,7c=a+2b,2a=3b代入原式得:(2a+3b+6c)/(a+5b+7c)= (2a+3b+(4a-3b))/(a+5b+(a+2b))= (6a)/(2a+7b)=(3*2a)/(3b+...