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Find the missing number so that the equation has infinitely many solutions.\newline−5x−19=−5x+‾-5x - 19 = -5x + \underline{\hspace{1cm}}

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions.\newline−5x−19=−5x+‾-5x - 19 = -5x + \underline{\hspace{1cm}}
  1. Identify Equation: To determine the missing number that will result in the equation having infinitely many solutions, we need to make the left-hand side (LHS) and the right-hand side (RHS) of the equation identical.
  2. Make LHS and RHS Identical: The LHS of the equation is −5x−19-5x - 19. For the equation to have infinitely many solutions, the RHS must be exactly the same as the LHS.
  3. Fill in Missing Number: The RHS of the equation is currently -5x + ____. To match the LHS, the blank must be filled with the same constant term that is on the LHS, which is −19-19.
  4. Final Equation with Infinite Solutions: Therefore, the missing number is −19-19. The equation with infinitely many solutions is −5x−19=−5x−19-5x - 19 = -5x - 19.

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