Question

Solve 5x - c= k for x.
Step 1: Isolate the variable x by choose your answer..

from both sides of the equation.
Step 2: Isolate the variable X by choose your answer...
Final answer is x= k+c/5
to both sides of the equation.

Answer 1

Let's go through the steps to isolate \( x \) in the equation \( 5x - c = k \).

### Step 1: Isolate the variable \( x \)
To isolate \( x \), we first want to get rid of \( -c \) on the left side. We can do this by adding \( c \) to both sides of the equation:

\[
5x - c + c = k + c
\]
This simplifies to:
\[
5x = k + c
\]

### Step 2: Isolate the variable \( x \) again
Next, we need to get \( x \) by itself, so we divide both sides of the equation by \( 5 \):

\[
\frac{5x}{5} = \frac{k + c}{5}
\]
This simplifies to:
\[
x = \frac{k + c}{5}
\]

So the final answer is:

\[
x = \frac{k + c}{5}
\]

(Note: Your original final answer stated \( x = \frac{k + c}{5} \), but make sure to add \( k \) and \( c \) together in the numerator, as done above. The correct final answer reflects that.)

Answer 2

Answers are:
subtracting c
adding c
multiplying 5
dividing 5

Answer 3

Thank you for providing the options for the steps in isolating \( x \). Based on those options, here’s how the process would look:

### Step 1: Isolate the variable \( x \)

Choose: **adding \( c \)**

We start with the equation:

\[
5x - c = k
\]

To isolate \( 5x \), we add \( c \) to both sides:

\[
5x - c + c = k + c
\]

This simplifies to:

\[
5x = k + c
\]

### Step 2: Isolate the variable \( x \)

Choose: **dividing \( 5 \)**

Now, we divide both sides by \( 5 \):

\[
\frac{5x}{5} = \frac{k + c}{5}
\]

This simplifies to:

\[
x = \frac{k + c}{5}
\]

So, using your options, the steps to isolate \( x \) correctly are:

1. **Adding \( c \)** (to both sides)
2. **Dividing \( 5 \)** (to both sides)

The final answer is:

\[
x = \frac{k + c}{5}
\]