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How many solutions does this equation have?\newline9c=9c+69c = 9c + 6\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

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Find the number of solutions to a linear equationright chevron icon

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Q. How many solutions does this equation have?\newline9c=9c+69c = 9c + 6\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Analyze Equation: Analyze the equation 9c=9c+69c = 9c + 6. We need to determine if there is a value of cc that makes this equation true.
  2. Isolate Variable cc: Attempt to isolate the variable cc on one side of the equation.\newlineSubtract 9c9c from both sides of the equation to try to solve for cc.\newline9c−9c=9c+6−9c9c - 9c = 9c + 6 - 9c\newline0=60 = 6
  3. Evaluate Subtraction Result: Evaluate the result of the subtraction.\newlineWe see that 00 does not equal 66. This means that there is no value of cc that can satisfy the equation 9c=9c+69c = 9c + 6.
  4. Conclude Number of Solutions: Conclude the number of solutions based on the result.\newlineSince 00 does not equal 66, the equation is never true. Therefore, there are no solutions to the equation.

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