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Find the missing number so that the equation has no solutions.\newline____x−8=−3x−7\_\_\_\_x - 8 = -3x - 7

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Full solution

Q. Find the missing number so that the equation has no solutions.\newline____x−8=−3x−7\_\_\_\_x - 8 = -3x - 7
  1. Identify conditions for no solutions: Identify the conditions for no solutions.\newlineFor an equation to have no solutions, the coefficients of the variables must be the same on both sides, but the constants must be different.
  2. Set up equation with missing number: Set up the equation with the missing number. \newline____x−8=−3x−7\_\_\_\_x - 8 = -3x - 7\newlineTo have no solutions, the coefficient of xx on the left side must be the same as the coefficient on the right side, which is −3-3.
  3. Compare constants on both sides: Compare the constants on both sides.\newlineThe constants are −8-8 on the left side and −7-7 on the right side. Since they are different, the equation will have no solutions if the coefficients of xx are the same.
  4. Determine missing number: Determine the missing number.\newlineThe missing number must be −3-3 to match the coefficient of xx on the right side.

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