$\begin{array}{l}3 x+5 y=6 \\ 7 x-5 y=-11\end{array}$

Step 1 ：Add the two equations: \( (3x + 5y) + (7x - 5y) = 6 + (-11) \)

Step 2 ：Simplify the equation: \( 10x = -5 \)

Step 3 ：Divide both sides by 10: \( x = -\frac{1}{2} \)

Step 4 ：Substitute x in the first equation: \( 3(-\frac{1}{2}) + 5y = 6 \)

Step 5 ：Simplify the equation: \( -\frac{3}{2} + 5y = 6 \)

Step 6 ：Add \(\frac{3}{2}\) to both sides: \( 5y = \frac{15}{2} \)

Step 7 ：Divide both sides by 5: \( y = \frac{3}{2} \)

Step 8 ：\( \boxed{x = -\frac{1}{2}, y = \frac{3}{2}} \)