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Find the missing number so that the equation has infinitely many solutions. \newline2x−1=‾x−12x - 1 = \underline{\hspace{1cm}}x - 1

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions. \newline2x−1=‾x−12x - 1 = \underline{\hspace{1cm}}x - 1
  1. Identify Equation Pattern: When an equation has infinitely many solutions, it means that both sides of the equation are identical. To find the missing number, we need to make the coefficients of xx on both sides of the equation the same.
  2. Check Constant Equality: The equation is 2x - 1 = ____x - 1. Since the constants on both sides are already the same (−1-1), we need to make sure the coefficients of xx are also the same for the equation to have infinitely many solutions.
  3. Ensure Coefficient Consistency: The coefficient of xx on the left side is 22. To have infinitely many solutions, the missing coefficient of xx on the right side must also be 22.

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