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Solving Equations with Variables on Both Sides

Directions: Using the digits 1 to 9, at most TWO times each, fill in the boxes to make an equation with no solutions.

Hint

Hint

How can you tell when an equation has no solution?
How can you tell when an equation has infinite solutions?

Answer

Answer

There are many answers, but the coefficient of both x terms have to be the same and the constants must have different values. So, 2x + 3 = 2x + 4 is an answer because it is equivalent to 3 = 4, for which there is no solution.

Source: Robert Kaplinsky

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76 comments

  1. 1x + 9 = 1x + 8
    2x + 9 = 2x + 8
    3x + 9 = 3x + 8
    etc.

  2. 2x + 3 = 2x + 4

  3. 5x+10=5x+9

  4. 2x+3=2x+4.

  5. 2x+9=2x+2

  6. 1x+1=1x+2

  7. sophia antogiovanni

    5x+6=5x+5

  8. Preston Shanosky

    x+7=x+8

  9. 4x+8=4x+7

  10. 2x+5= 2x+4

  11. 7x+3=7x-4

  12. 2x + 3 = 2x + 4

  13. 7x + 4 = 7x + 3

  14. 2x+4=2x+9

  15. 5x+1=5x+4

  16. 3x+1=3x=4

  17. 2x+1=2x+2

  18. 3x-5=3x+17

  19. william hockstein

    9x+3=9x+4

  20. 6x +7 = 6x + 2

  21. 9x+2= 9x+1

  22. 5x+3=5x+2

  23. 2x+1=2x+3

  24. 7x-2=7x+5

  25. 4x+8= 4x+2

  26. 486x+77=39x+45

  27. 5x+3=5x-6

  28. 2x + 3 = 2x + 8

  29. 4x-5=4x-6

  30. 2x+3=2×4

  31. percydous Guerra

    7x+3=2x+13

  32. percydous Guerra

    7x+3=2x=13

  33. 3x+7=3x+8

  34. 5x+7=5x+8

  35. 5x+7=5x+6

  36. 13x+9=13x+8

  37. Solving Equations with Variables on Both Sides
    Directions: Using the digits 1 to 9, at most TWO times each, fill in the boxes to make an equation with no solutions.
    _x +_ =_ x + _ -> original problem
    2x +5 = 2x +9 -> my attempt

  38. 2x+4=2x+3

  39. 4x+5=4x+6

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