Answer: If the variable y varies inversely as the variable x, this means that y and x are related by the equation:
y = k/x
where k is a constant of proportionality. We can use the given value of y and x to solve for k, and then use the value of k to find y when x=5.
From the given information, we know that when x=2, y=10. Substituting these values into the equation above, we get:
10 = k/2
Multiplying both sides by 2, we get:
k = 20
Now we can use this value of k to find y when x=5:
y = k/x = 20/5 = 4
Therefore, when x=5, y=4.
Explanation: