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Math Help Please,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

  5. Solve the System {8y=4x-16

-x=-2y-4

  1. (12,3)
  2. No solution
  3. (8, -4)
  4. Infinite Solutions

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

  6. (0,1)
  7. (-1,-1)
  8. (1,0)
  9. (0,0)

Any help would be extremely appreciated!

Verified Answer :

texaschic101
  1. -5x - y = 5.......y = -5x - 5....slope = -5 and y int = -5
         x - 2y = -1......y = 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 - 2....slope = 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)


      
        

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