Answer:
Infinitely many solutions.
Explanation:
Let's solve your system by elimination.
2x−y=2;−8x+4y=−8
Multiply the first equation by 4,and multiply the second equation by 1.
4(2x−y=2)
1(−8x+4y=−8)
Becomes:
8x−4y=8
−8x+4y=−8
Add these equations to eliminate x:
0=0