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Find the missing number so that the equation has infinitely many solutions. \newline−4x+5=−4x+‾-4x + 5 = -4x + \underline{\hspace{1cm}}

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions. \newline−4x+5=−4x+‾-4x + 5 = -4x + \underline{\hspace{1cm}}
  1. Identify Equation Requirement: To determine the missing number that will 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 -4x + 5 = -4x + ____, we can see that the coefficients of xx are already the same on both sides of the equation. This means that for the equation to have infinitely many solutions, the constants on both sides must also be the same.
  3. Ensure Constant Equality: Since the constant on the left side of the equation is 55, the missing number on the right side must also be 55 to make the constants equal. This will ensure that the equation has infinitely many solutions.

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