Solve for the variable c in the following equation: 42c−5=7

.(1 point)
Responses

6.7
6.7

8
8

12.6
12.6

11

1 answer

To solve for \( c \) in the equation \( 42c - 5 = 7 \), follow these steps:

  1. Start with the original equation: \[ 42c - 5 = 7 \]

  2. Add 5 to both sides to isolate the term with \( c \): \[ 42c = 7 + 5 \] \[ 42c = 12 \]

  3. Now, divide both sides by 42 to solve for \( c \): \[ c = \frac{12}{42} \]

  4. Simplify the fraction: \[ c = \frac{2}{7} \]

Now, we can convert \( \frac{2}{7} \) to decimal form: \[ c \approx 0.2857 \]

None of the options given (6.7, 8, 12.6, 11) match the solution \( \frac{2}{7} \) or its decimal equivalent approximately 0.2857.

Please double-check the options as the answer computed does not correspond to any provided responses.