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Find the missing number so that the equation has infinitely many solutions.\newline3x+____=3x+93x + \_\_\_\_ = 3x + 9

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions.\newline3x+____=3x+93x + \_\_\_\_ = 3x + 9
  1. Identify Equation Requirement: To determine the missing number that would result in the equation having infinitely many solutions, we need to make the equation true for all values of xx. This means that the expressions on both sides of the equation must be identical.
  2. Determine Constant Term: The equation is 3x+____=3x+93x + \_\_\_\_ = 3x + 9. Since we want the equation to have infinitely many solutions, the missing number must be such that the constant term on the left side of the equation is equal to the constant term on the right side, which is 99.
  3. Find Missing Number: Therefore, the missing number is 99, because adding 99 to 3x3x on the left side will result in the same expression as on the right side, which is 3x+93x + 9.

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