Solve 5x - c= k for x.

Question

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:

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