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Find the missing number so that the equation has no solutions.\newline−5x+4=____x−5-5x + 4 = \_\_\_\_x - 5

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Q. Find the missing number so that the equation has no solutions.\newline−5x+4=____x−5-5x + 4 = \_\_\_\_x - 5
  1. Equation Explanation: −5x+4=0‾x−5-5x + 4 = \underline{\phantom{0}}x - 5\newlineWhen 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. Identifying Missing Number: -5x + 4 = ____x - 5\newlineWhat is the missing number in the equation?\newlineThe coefficient of xx on the left side is −5-5.\newlineTo have no solutions, the coefficient of xx on the right side should also be −5-5, but the constants 44 and −5-5 are already different.
  3. Solving for No Solutions: −5x+4=−5x−5-5x + 4 = -5x - 5\newlineNow we have the same coefficients for xx on both sides, but different constants.\newlineThis means the equation has no solutions.

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