8X+Y-Z=m(X+2Y-Z)+n(2X-Y+Z)
=(m+2n)X+(2m-n)Y+(-m+n)Z
m+2n=8;2m-n=1;-m+n=1
解得,m=2,n=3
所以 8X+Y-Z=2×8+3×18＝70