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One Solution, No Solutions, Infinite Solutions

Directions: Using Integers (without repeating any number), fill in the boxes to create the following types of Linear Equations

Hint

Hint

What does it mean for an equation to have no solutions? Infinite solutions?

Answer

Answer

Answers can vary, an example is:
1 Solution: (-3/-1)X + 0 = 1X + (-4/-2)
No Solution: (-2/-1)X + 1 = 2X + 0
Infinite Solutions: (-2/-1)X + 3 = 2X + (-9/-3)

Interval of: 11

Source: Bryan Anderson

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8 comments

  1. Cannot make an entry. But I understand the three choices.

  2. I think the smallest integer interval is 12. The numbers are from -9 to 3. 3-(-9)=12.

  3. could not fill in the boxes but i know if slope is same and y is not there is no solution if y is same but slope is different 1 solution and all is the same means infinite solutions

  4. i could not fill in the boxes but other then that i personally know that cant have if the slope is same and there is nothing for the y there is no solution but if alll are the same there are much more solutions

  5. One solution
    6/2 x + 5 = 2x + 8/1

    No solution
    6/2 x + 4 = 3x + 5/1

    Infinite solution
    10/2 x + 3 = 5x + 12/4

    • No solution
      6/2 x + 4 = 3x + 5/1

      Infinite solution

      One solution
      6/2 x + 5 = 2x + 8/1
      Infinite solution
      10/2 x + 3 = 5x + 12/4

  6. No solution
    6/2 x + 4 = 3x + 5/1

    Infinite solution
    10/2 x + 3 = 5x + 12/4

    One solution
    6/2 x + 5 = 2x + 8/1

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