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Find the missing number so that the equation has no solutions.\newline____x−1=5x−8\_\_\_\_x - 1 = 5x - 8

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Q. Find the missing number so that the equation has no solutions.\newline____x−1=5x−8\_\_\_\_x - 1 = 5x - 8
  1. Identify No Solutions: Analyze the equation for no solutions.\newlineFor an equation to have no solutions, the coefficients of the variable terms must be equal, but the constants must be different.
  2. Set Up Equation: Set up the equation with the missing number.\newline____x - 1 = 5x - 8\newlineTo have no solutions, the coefficient of xx on the left must be the same as on the right, which is 55.
  3. Determine Missing Number: Determine the missing number. Since the coefficients must be the same for no solutions, the missing number is 55.
  4. Check Constants: Check if the constants are different.\newlineAfter determining the coefficient, we have 5x−1=5x−85x - 1 = 5x - 8.\newlineThe constants are −1-1 and −8-8, which are different.
  5. Confirm No Solutions: Confirm that the equation has no solutions.\newlineWith the same coefficients and different constants, the equation 5x−1=5x−85x - 1 = 5x - 8 has no solutions.

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