4x^2 + 3y^2 = 4, (1) 2x - 2y^2 = -3. (2) From (2), express 2x =. Now, substitute it into (1) by noting that = . You will get a single equation for : + = 4. Open parentheses, collect the like terms and introduce the new variable z = . Solve the obtained quadratic equation for z. Then find "y" from z = . Then find "x" from (2).