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Find the missing number so that the equation has no solutions.\newline−4x−11=____x+2-4x - 11 = \_\_\_\_x + 2

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Full solution

Q. Find the missing number so that the equation has no solutions.\newline−4x−11=____x+2-4x - 11 = \_\_\_\_x + 2
  1. Identifying No Solutions: When does this equation have no solutions?\newlineAn equation has no solutions when the variables on both sides have the same coefficient but the constants are different.
  2. Finding Missing Number: -4x - 11 = ____x + 2\newlineWhat is the missing number in the equation?\newlineThe coefficient of xx on the left side is −4-4.\newlineFor the equation to have no solutions, the coefficient of xx on the right side must also be −4-4, but the constants must be different.
  3. Checking Constants: −4x−11=−4x+2-4x - 11 = -4x + 2
    Check if the constants are different.
    The constants are −11-11 and +2+2, which are indeed different.
    This confirms that the equation has no solutions.

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