Question

Demonstrate how to solve the equation 3.5/1.2x=5.4for the variable x. Make sure to show each step.

Answer 1

To solve the equation \( \frac{3.5}{1.2x} = 5.4 \) for the variable \( x \), follow these steps:

### Step 1: Clear the fraction
To eliminate the fraction, we can multiply both sides of the equation by \( 1.2x \):
\[
3.5 = 5.4 \cdot 1.2x
\]

### Step 2: Simplify the right side
Now, calculate \( 5.4 \cdot 1.2 \):
\[
5.4 \cdot 1.2 = 6.48
\]
So the equation becomes:
\[
3.5 = 6.48x
\]

### Step 3: Isolate \( x \)
Next, we will isolate \( x \) by dividing both sides of the equation by \( 6.48 \):
\[
x = \frac{3.5}{6.48}
\]

### Step 4: Calculate the value of \( x \)
Now, perform the division:
\[
x \approx 0.5404
\]

### Final answer
Thus, the solution to the equation \( \frac{3.5}{1.2x} = 5.4 \) is:
\[
x \approx 0.5404
\]