方程组2分之x+1=4分之y+3=5分之x+y,则x+2y+3分之3x+2y+1=

2024-12-29 09:17:58
推荐回答(1个)
回答1:

(x+1)/2 = (y+3)/4 + (x+y)/5,

10(x+1) = 5(y+3) + 4(x+y),

6x = 9y + 5,

(3x + 2y + 1)/(x + 2y + 3)

= (6x + 4y + 2)/(6x + 12y + 18)*(6/2)

= 3[9y + 5 + 4y + 2]/[9y + 5 + 12y + 18]

= 3[13y + 7]/[21y + 23]