已知实数a,b,c, 满足a+bc\frac{a+b}{c}ca+b=a+cb\frac{a+c}{b}ba+c=b+ca\frac{b+c}{a}ab+c, 求(a+b)(a+c)(b+c)abc\frac{\left(a+b\right)\left(a+c\right)\left(b+c\right)}{abc}abc(a+b)(a+c)(b+c)的值.
已知x, y, z满足x2\frac{x}{2}2x=y−23\frac{y-2}{3}3y−2=z+35\frac{z+3}{5}5z+3, 则5x+y−6y+2z\frac{5x+y-6}{y+2z}y+2z5x+y−6的值为( )
1
12\frac{1}{2}21
13\frac{1}{3}31
-12\frac{1}{2}21