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: \[ x \approx 0.5404 \]