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Find the missing number so that the equation has no solutions. \newline2x+16=____x+72x + 16 = \_\_\_\_x + 7

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Full solution

Q. Find the missing number so that the equation has no solutions. \newline2x+16=____x+72x + 16 = \_\_\_\_x + 7
  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. Determine Coefficients: 2x + 16 = ____x + 7\newlineTo have no solutions, the coefficient of xx on both sides must be the same, but the constants must be different.
  3. Find Missing Number: Find the missing number. The coefficient of xx on the left side is 22. To have no solutions, the coefficient of xx on the right side must also be 22.
  4. Check Constants: Check the constants.\newlineThe constant on the left side is 1616, and on the right side is 77. Since 16≠716 \neq 7, the equation will have no solutions if the coefficients of xx are the same.

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