3x - 5y = -2, -x + 4y = -3

Multiply the second equation by 3: 3(-x + 4y) = 3(-3) => -3x + 12y = -9.

Add this new equation to the first equation: (3x - 5y) + (-3x + 12y) = -2 + (-9) => 7y = -11 => y = -11/7.

Substitute y = -11/7 into the second equation: -x + 4(-11/7) = -3 => -x - 44/7 = -3 => -x = -3 + 44/7 => -x = (-21 + 44)/7 => -x = 23/7 => x = -23/7.

Solution: x = -23/7, y = -11/7.