Math ,i'm stuck!

how many solutions does this system have?

{-5x-y=5
x-2y=-1

1. infinitely many solutions
2. no solutions
3. two solutions
4. one solution

2. solve the system {8y=4x-16
-x=-2y-4

1. (12,3)
2. no solution
3. (8, -4)
4. infinite solutions

3. which point is part of the solution of the inquality y≤|x+2|-3

1. (0,1)
2. (-1,-1)
3. (1,0)
4. (0,0)

any would be extremely appreciated!

1. -5x - y = 5y = -5x - 5slope = -5 and y int = -5
     x - 2y = -1y = 1/2x + 1/2...slope = 1/2 and y int = 1/2
     different slopes, different y int = 1 solution

2. 8y = 4x - 16
    y = 1/2x - 2slope = 1/2, y int = -2
  
    -x = -2y - 4
    2y = x - 4
    y = 1/2x - 2...slope = 1/2, y int = -2

same slope, same y int = infinite solutions

3. y <= | x + 2| - 3  ...subbing in (1,0)

0 < = | 1 + 2| - 3
0 < = 3 - 3
0 < = 0 (correct)so ur answer is (1,0)