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Find the missing number so that the equation has no solutions. \newline3x+13=____x−203x + 13 = \_\_\_\_x - 20

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Q. Find the missing number so that the equation has no solutions. \newline3x+13=____x−203x + 13 = \_\_\_\_x - 20
  1. Understand Equation 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. Compare Coefficients of xx: Compare the coefficients of xx on both sides of the equation.\newlineThe coefficient of xx on the left side is 33. For the equation to have no solutions, the coefficient of xx on the right side must also be 33.
  3. Identify Constants: Identify the constants on both sides of the equation.\newlineThe constant on the left side is 1313, and the constant on the right side is −20-20. Since these constants are different, and we have determined that the coefficients of xx must be the same, we can conclude that the missing number is 33.

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