已知xy满足关系式(-x+6):(x-y);(4x+y)=3;14:1,求x+y的值

问题描述:

已知xy满足关系式(-x+6):(x-y);(4x+y)=3;14:1,求x+y的值

(-x+6):(x-y):(4x+y)=3:14:1
所以(-x+6)/3=(x-y)/14=(4x+y)/1
(-x+6)/3=(4x+y)/1
-x+6=12x+3y
13x+3y=6(1)
(x-y)/14=(4x+y)/1
x-y=56x+14y
55x+15y=0(2)
(2)-(1)*4
55x+15y-52x-12y=0-24
3x+3y=-24
x+y=-8