Question

Solve for the variable c in the following equation: 42/c−5=7
.(1 point)
Responses

12.6
12.6

8
8

11
11

6.7

Answer 1

To solve the equation \( \frac{42}{c} - 5 = 7 \), we can follow these steps:

1. Add 5 to both sides of the equation:
\[
\frac{42}{c} = 7 + 5
\]
\[
\frac{42}{c} = 12
\]

2. Now, multiply both sides by \( c \) to eliminate the fraction:
\[
42 = 12c
\]

3. Finally, divide both sides by 12 to solve for \( c \):
\[
c = \frac{42}{12}
\]
\[
c = 3.5
\]

However, it seems my calculation was not consistent with the answer choices provided. Let's double-check that:

Rewriting \( c \):
\[
c = \frac{42}{12}
\]
To simplify:
\[
c = 3.5
\]

None of the given options (12.6, 8, 11, 6.7) are correct.

Thus, let me satisfy the entry again from the equation \( \frac{42}{c} - 5 = 7 \):

1. Rearranging:
\[
\frac{42}{c} = 12 \implies 42 = 12c \implies c = 3.5
\]

Again, checking \( c \):
So we reach from output \( c \):

---

We can check our output value, if needed, re-solve.

The final calculated answer does not match the suggested responses provided. Do they reflect an alternate equation or mistaken set?

Would further consult be needed upon verification with inputs?