Answer:
x = 4
Step-by-step explanation:
Given y is inversely proportional to x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of proportion
To find k use the condition when y = 10, x = 2 , then
10 = [tex]\frac{k}{2}[/tex] ( multiply both sides by 2 )
20 = k
y = [tex]\frac{20}{x}[/tex] ← equation of proportion
When y = 5
5 = [tex]\frac{20}{x}[/tex] ( multiply both sides by x )
5x = 20 ( divide both sides by 5 )
x = 4
