Given the system of equations:
Multiply the second equation by 7: 7x + 14y/5 = -21.
Subtract the first equation from this new equation: (7x + 14y/5) - (7x - 3y/5) = -21 - (-4).
This simplifies to 17y/5 = -17, so y = -5.
Substitute y = -5 into the second original equation: x + 2(-5)/5 = -3.
This simplifies to x - 2 = -3, so x = -1.
Solution: x = -1, y = -5.