Demonstrate how to solve the equation 3.5/1.2x = 5.4 for the variable x. Make sure to show each step.(2 points)

Answer 1

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

Step 1: Eliminate the fraction

Multiply both sides of the equation by \( 1.2x \) to eliminate the fraction:

\[ 3.5 = 5.4 \cdot 1.2x \]

Step 2: Simplify the right side

Calculate \( 5.4 \cdot 1.2 \):

\[ 5.4 \cdot 1.2 = 6.48 \]

So the equation now becomes:

\[ 3.5 = 6.48x \]

Step 3: Isolate \( x \)

To isolate \( x \), divide both sides of the equation by \( 6.48 \):

\[ x = \frac{3.5}{6.48} \]

Step 4: Calculate the value of \( x \)

Perform the division:

\[ x \approx 0.54 \]

Thus, the solution to the equation \( \frac{3.5}{1.2x} = 5.4 \) is:

\[ \boxed{0.54} \]