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Find the missing number so that the equation has infinitely many solutions. \newline2x+15=____x+152x + 15 = \_\_\_\_x + 15

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Create linear equations with no solutions or infinitely many solutionsright chevron icon

Full solution

Q. Find the missing number so that the equation has infinitely many solutions. \newline2x+15=____x+152x + 15 = \_\_\_\_x + 15
  1. Identify Equation Pattern: When an equation has infinitely many solutions, it means that both sides of the equation are identical. To find the missing number that makes the equation have infinitely many solutions, we need to make the coefficients of xx on both sides of the equation the same.
  2. Ensure Same Constants: The equation is 2x + 15 = ____x + 15. Since the constants on both sides are already the same (15=1515 = 15), we need to make sure that the coefficients of xx are also the same.
  3. Match Coefficients: The coefficient of xx on the left side of the equation is 22. For the equation to have infinitely many solutions, the missing coefficient of xx on the right side must also be 22.

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