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Find the missing number so that the equation has no solutions. \newline____x−13=5x+5\_\_\_\_x - 13 = 5x + 5

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Full solution

Q. Find the missing number so that the equation has no solutions. \newline____x−13=5x+5\_\_\_\_x - 13 = 5x + 5
  1. Identify Conditions: Identify the conditions for no solutions. An equation has no solutions when the two sides of the equation are parallel lines, which means the coefficients of xx are the same, but the constants are different.
  2. Set Up Equation: Set up the equation with the missing number.\newline____x−13=5x+5\_\_\_\_x - 13 = 5x + 5\newlineTo have no solutions, the coefficient of xx on the left side must be the same as the coefficient on the right side, 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.\newlineThe constants are −13-13 on the left side and +5+5 on the right side. Since they are different, the equation will have no solutions.

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