To find the value of \( y \) when \( x \) is 2 in an inverse variation, we can use the formula for inverse variation, which states that \( y \times x = k \), where \( k \) is a constant.
Given that \( y \) is 5 when \( x \) is 10, we can substitute these values into the formula:
\[ 5 \times 10 = k \]
\[ k = 50 \]
Now that we have the constant \( k \), we can find \( y \) when \( x \) is 2 by rearranging the formula:
\[ y \times x = k \]
\[ y = \frac{k}{x} \]
\[ y = \frac{50}{2} \]
\[ y = 25 \]
Therefore, when \( x \) is 2, \( y \) is 25 in this inverse variation relationship.
