Solve the equation. \[ \frac{13}{y}+\frac{5}{y}=3 \] Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is \( \{\square \). (Simplify your answer.) B. There is no solution.

To solve the equation \( \frac{13}{y}+\frac{5}{y}=3 \), we can combine the fractions on the left side. \[ \frac{13 + 5}{y} = 3 \] \[ \frac{18}{y} = 3 \] Next, we can cross-multiply to eliminate the fraction: \[ 18 = 3y \] Now, we divide both sides by 3: \[ y = \frac{18}{3} = 6 \] So, the solution set is \( \{ 6 \} \). The correct choice is A. The solution set is \( \{ 6 \} \). Remember, when faced with a fraction, you can often simplify by finding common denominators or directly cross-multiplying to dodge the fractions altogether – it’s a handy trick in equations!