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Find the missing number so that the equation has infinitely many solutions.\newline3x−9=‾x−93x - 9 = \underline{\hspace{1cm}}x - 9

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions.\newline3x−9=‾x−93x - 9 = \underline{\hspace{1cm}}x - 9
  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 that makes the equation have infinitely many solutions, we need to make the coefficients of xx on both sides of the equation the same.
  2. Ensure Same Constants: The given equation is 3x - 9 = ____x - 9. Since the constants on both sides are already the same (−9-9), we need to make sure that the coefficients of xx are also the same for the equation to have infinitely many solutions.
  3. Make Coefficients Equal: The coefficient of xx on the left side of the equation is 33. Therefore, the missing number, which is the coefficient of xx on the right side of the equation, must also be 33 for the equation to have infinitely many solutions.

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