2. $$ \frac{5}{2 x}=\frac{20}{16} $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
\frac{5}{2x} = \frac{20}{16}
$$

**Step 1: Simplify the Right Side**

First, simplify the fraction on the right side of the equation:

$$
\frac{20}{16} = \frac{5}{4}
$$

Now, the equation becomes:

$$
\frac{5}{2x} = \frac{5}{4}
$$

**Step 2: Cross-Multiply**

To eliminate the fractions, cross-multiply:

$$
5 \times 4 = 5 \times 2x
$$

$$
20 = 10x
$$

**Step 3: Solve for $$ x $$**

Divide both sides of the equation by 10:

$$
x = \frac{20}{10} = 2
$$

**Answer:**

$$ x = 2 $$
$$ x = 2 $$

2. \( \frac{5}{2 x}=\frac{20}{16} \)