Solve the system of equations 1) 3x + y = 1, 2x - 3y = 8.

To solve the system of equations, we will use the substitution or elimination method. Let's apply the substitution method for better clarity. From the first equation, express y in terms of x: y = 1 - 3x. Substitute y into the second equation: 2x - 3(1 - 3x) = 8. Solve for x: x = 1. Substitute x back into the expression for y to find y: y = 1 - 3(1) = -2. Thus, the solution to the system is x = 1, y = -2.