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Find the missing number so that the equation has infinitely many solutions. \newline4x+3=‾x+34x + 3 = \underline{\hspace{1cm}}x + 3

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions. \newline4x+3=‾x+34x + 3 = \underline{\hspace{1cm}}x + 3
  1. Determine Missing Number: To determine the missing number for the equation to have infinitely many solutions, we need to make the equation true for all values of xx. This means that the coefficients of xx on both sides of the equation must be equal, and the constants on both sides must also be equal.
  2. Compare Coefficients: The given equation is 4x + 3 = ____x + 3. For the equation to have infinitely many solutions, the coefficient of xx on the left side must be equal to the coefficient of xx on the right side. The constant term, which is 33, is already equal on both sides.
  3. Replace Blank with 44: Since the coefficient of xx on the left side is 44, the missing number that should replace the blank to make the coefficient of xx on the right side also 44 is 44. Therefore, the equation becomes 4x+3=4x+34x + 3 = 4x + 3.

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