Solve the system of equations \(2x + 3y = 12\) and \(5x - y = 9\).

Step 1 ：Step 1: Multiply the second equation by 3 to make the coefficient of \(y\) in the second equation equal to the coefficient of \(y\) in the first equation. We get \(15x - 3y = 27\).

Step 2 ：Step 2: Add the first equation \(2x + 3y = 12\) to the new second equation \(15x - 3y = 27\), we get \(17x = 39\).

Step 3 ：Step 3: Solve for \(x\) in the equation \(17x = 39\), we get \(x = \frac{39}{17}\).

Step 4 ：Step 4: Substitute \(x = \frac{39}{17}\) into the first equation \(2x + 3y = 12\), we get \(2*\frac{39}{17} + 3y = 12\).

Step 5 ：Step 5: Solve for \(y\) in the equation \(2*\frac{39}{17} + 3y = 12\), we get \(y = \frac{81}{34}\).