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Find the missing number so that the equation has infinitely many solutions.\newline−5x−17=‾x−17-5x - 17 = \underline{\hspace{1cm}}x - 17

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions.\newline−5x−17=‾x−17-5x - 17 = \underline{\hspace{1cm}}x - 17
  1. Identify Identical Expressions: To determine the missing number for the equation to have infinitely many solutions, we need to make the expressions on both sides of the equation identical. This means that the coefficients of xx and the constant terms on both sides must be the same.
  2. Ensure Same Constant Terms: The given equation is −5x−17=____x−17-5x - 17 = \_\_\_\_x - 17. Since the constant terms on both sides are already the same (−17-17), we need to make the coefficients of xx 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 −5-5. To have infinitely many solutions, the missing coefficient of xx on the right side must also be −5-5.

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