Final answer:
To determine the values of the rational expression (8n-5)/(3n+1), set the expression equal to 0 and solve for n. The value of the rational expression is n = 5/8.
Step-by-step explanation:
To determine the values of the rational expression (8n-5)/(3n+1), we need to set the expression equal to 0 and solve for n. This is because the rational expression is equal to 0 when the numerator is equal to 0. So, we set 8n-5 equal to 0 and solve for n:
8n - 5 = 0
8n = 5
n = 5/8
Therefore, the value of the rational expression is n = 5/8. This means that when n is equal to 5/8, the rational expression becomes 0.