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Find the missing number so that the equation has infinitely many solutions.\newline3x+16=‾x+163x + 16 = \underline{\hspace{1cm}}x + 16

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Q. Find the missing number so that the equation has infinitely many solutions.\newline3x+16=‾x+163x + 16 = \underline{\hspace{1cm}}x + 16
  1. Identifiable Coefficients and Constants: To have infinitely many solutions, the equation on both sides must be identical. This means that the coefficients of xx and the constant terms must be the same on both sides of the equation.
  2. Comparison of Constant Terms: Looking at the equation 3x + 16 = ____x + 16, we can see that the constant term on both sides is already the same, which is 1616. Therefore, we only need to ensure that the coefficients of xx are the same.
  3. Matching Coefficients of xx: Since the coefficient of xx on the left side of the equation is 33, the missing coefficient on the right side must also be 33 for the equation to have infinitely many solutions.

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