505. Solve the system of equations: 2x - 3y = 5, x - 6y = -2.

Solution:

1. From the second equation, express x: x = 6y - 2.
2. Substitute this expression for x into the first equation: 2(6y - 2) - 3y = 5 => 12y - 4 - 3y = 5 => 9y = 9 => y = 1.
3. Substitute the value of y back into the equation for x: x = 6(1) - 2 = 6 - 2 = 4.

Answer: x = 4, y = 1