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Find the missing number so that the equation has no solutions. \newline2x+14=____x+12x + 14 = \_\_\_\_x + 1

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Full solution

Q. Find the missing number so that the equation has no solutions. \newline2x+14=____x+12x + 14 = \_\_\_\_x + 1
  1. Identify No Solutions: Understand when an equation has no solutions. An equation has no solutions when the two sides of the equation are parallel lines, which means the coefficients of xx are the same, but the constants are different.
  2. Set Up Equation: Set up the equation 2x + 14 = ____x + 1. To have no solutions, the coefficient of xx on both sides must be the same, but the constants must be different.
  3. Determine Missing Number: Determine the missing number.\newlineSince the coefficients of xx must be the same for no solutions, the missing number must be 22. However, for no solutions, the constants must be different, but here we have 1414 and 11, which are already different. Therefore, the missing number is 22.

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