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Find the missing number so that the equation has no solutions. \newline2x−17=____x−12x - 17 = \_\_\_\_x - 1

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Full solution

Q. Find the missing number so that the equation has no solutions. \newline2x−17=____x−12x - 17 = \_\_\_\_x - 1
  1. Coefficients must match: To have no solutions, the coefficients of xx must be the same on both sides of the equation, but the constants must be different.
  2. Ensure equal coefficients: The coefficient of xx on the left side of the equation is 22. To have no solutions, the missing coefficient of xx on the right side must also be 22.
  3. Compare constants: Now we compare the constants on both sides. On the left side, the constant is −17-17, and on the right side, it is −1-1. Since these constants are already different, we have ensured that the equation will have no solutions.
  4. Find missing number: Therefore, the missing number that makes the coefficient of xx on the right side equal to 22 is 22.

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