(4) \( 3 x-5 y=17 \) (2) \( x+2 y=2 \)

To solve the system of equations \( 3x - 5y = 17 \) and \( x + 2y = 2 \), you can use the substitution or elimination method. If you choose substitution, express \( x \) from the second equation: \( x = 2 - 2y \). Then, substitute it into the first equation to find \( y \). Once you have \( y \), plug it back to find \( x \). When solving systems like this, a common mistake is forgetting to distribute or to align terms properly, leading to incorrect calculations. Always double-check each step, and if possible, plug your final values back into the original equations to ensure they hold true!