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Find the missing number so that the equation has infinitely many solutions. \newline−3x+‾=−3x+5-3x + \underline{\hspace{1cm}} = -3x + 5

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions. \newline−3x+‾=−3x+5-3x + \underline{\hspace{1cm}} = -3x + 5
  1. Identify Solutions: Identify when the equation has infinitely many solutions.\newlineFor an equation to have infinitely many solutions, both sides must be identical in form and constants.
  2. Analyze Equation: Analyze the given equation: −3x+____=−3x+5-3x + \_\_\_\_ = -3x + 5.\newlineTo have infinitely many solutions, the blank must make the left side identical to the right side.
  3. Set Coefficients Equal: Set the coefficients of xx equal on both sides.\newlineSince the coefficients of xx are already equal (−3-3 on both sides), focus on the constants.
  4. Set Constants Equal: Set the constants equal: ____ = 5.\newlineThe missing number that makes the constants equal is 55.

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