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Find the missing number so that the equation has infinitely many solutions. \newline−5x+10=−5x+‾-5x + 10 = -5x + \underline{\hspace{2em}}

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions. \newline−5x+10=−5x+‾-5x + 10 = -5x + \underline{\hspace{2em}}
  1. Identify Equation Requirement: To determine the missing number that would result in the equation having infinitely many solutions, we need to understand that for an equation to have infinitely many solutions, both sides of the equation must be identical.
  2. Analyze Coefficients: Looking at the equation -5x + 10 = -5x + ____, we can see that the coefficients of xx are already the same on both sides. For the equation to have infinitely many solutions, the constants must also be the same.
  3. Determine Missing Number: Since the constant on the left side of the equation is 1010, the missing number on the right side must also be 1010 to make the equation identical on both sides.

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