Final answer:
To solve the equation -1/2 + c = 31/4, we can add 1/2 to both sides to isolate c, resulting in c = 33/4.
Step-by-step explanation:
To solve the equation: -1/2 + c = 31/4, we need to isolate c. First, we can add 1/2 to both sides of the equation to get: c = 31/4 + 1/2. To simplify this, we need to find a common denominator for 31/4 and 1/2. The LCD is 4, so we can rewrite 1/2 as 2/4. Now the equation becomes: c = 31/4 + 2/4. Adding the fractions, we get c = 33/4.