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Find the missing number so that the equation has no solutions. \newline4x−17=____x+124x - 17 = \_\_\_\_x + 12

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Q. Find the missing number so that the equation has no solutions. \newline4x−17=____x+124x - 17 = \_\_\_\_x + 12
  1. Equation with No Solutions: When does this equation have no solutions?\newlineAn equation has no solutions when the coefficients of the variable are the same on both sides, but the constants are different.
  2. Missing Number in Equation: 4x−17=____x+124x - 17 = \_\_\_\_x + 12\newlineWhat is the missing number in the equation?\newlineCoefficients of xx on the left side is 44.\newlineFor the equation to have no solutions, the coefficient of xx on the right side must also be 44.
  3. Checking Coefficients and Constants: 4x−17=4x+124x - 17 = 4x + 12\newlineNow, let's check if the constants are different.\newlineThe constants are −17-17 on the left side and +12+12 on the right side.\newlineSince −17≠+12-17 \neq +12, the equation has no solutions.

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