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What value of cc is a solution to this equation?\newlinec−4=1c - 4 = 1\newlineChoices:\newline(A)c=4c = 4\newline(B)c=5c = 5

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Full solution

Q. What value of cc is a solution to this equation?\newlinec−4=1c - 4 = 1\newlineChoices:\newline(A)c=4c = 4\newline(B)c=5c = 5
  1. Identify Goal: Identify the goal of the problem.\newlineThe goal is to find the value of cc that makes the equation c−4=1c - 4 = 1 true.
  2. Isolate Variable: Isolate the variable cc on one side of the equation.\newlineTo do this, we need to get rid of the −4-4 that is being subtracted from cc. We can do this by adding 44 to both sides of the equation.\newlinec−4+4=1+4c - 4 + 4 = 1 + 4
  3. Perform Addition: Perform the addition on both sides of the equation.\newlinec−4+4=cc - 4 + 4 = c\newline1+4=51 + 4 = 5\newlineSo, the equation simplifies to c=5c = 5.
  4. Check Solution: Check the solution by substituting the value of cc back into the original equation.\newlineSubstitute c=5c = 5 into c−4=1c - 4 = 1.\newline5−4=15 - 4 = 1\newline1=11 = 1\newlineThe left side of the equation equals the right side, which means c=5c = 5 is the correct solution.

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