(m²+4m-5)x+ (4m²-4m)y=8m
y=-(m²+4m-5)/(4m²-4m)x+8m/(4m²-4m)
与L2:y=x-1平行
∴-(m²+4m-5)/(4m²-4m)=1
m²+4m-5=4m-4m²
5m²-5=0
m=±1
∵4m²-4m≠0
m≠0且m≠1
∴m=-1
(m²+4m-5)x+ (4m²-4m)y=8m
y=-(m²+4m-5)/(4m²-4m)x+8m/(4m²-4m)
与L2:y=x-1平行
∴-(m²+4m-5)/(4m²-4m)=1
m²+4m-5=4m-4m²
5m²-5=0
m=±1
∵4m²-4m≠0
m≠0且m≠1
∴m=-1