Is \( (6,15) \) a solution to this system of equations? \[ \begin{array}{l} x=6 \\ y=2 x+3 \end{array} \] yes. no

To determine if \( (6,15) \) is a solution, we can substitute \( x = 6 \) into the second equation \( y = 2x + 3 \). This gives us \( y = 2(6) + 3 = 12 + 3 = 15 \). Since the value of \( y \) matches the \( y \) value in the ordered pair, we conclude that \( (6,15) \) is indeed a solution to the system of equations. So the answer is: yes! 🎉