Respuesta :
Answer:
Both proportions are equivalent.
Step-by-step explanation:
We have been given two proportions [tex]\frac{40}{8}=\frac{x}{10}[/tex] and [tex]\frac{x}{40}=\frac{10}{8}[/tex]. We are asked to find why the solutions to our given proportions are equal.
We can solve proportions by cross multiplying them.
After cross multiplying our both proportions we will get same equation that is:
[tex]40*10=8*x[/tex]
[tex]400=8x[/tex]
[tex]8*x=40*10[/tex]
[tex]8x=400[/tex]
Since we get same equation after cross multiplying both proportions, therefore, the solutions to the given proportions would be same.