What is the answer to x y equals 7 2x 2y equals 14?

To solve the equations (xy = 7) and (2x + 2y = 14), we can simplify the second equation to (x + y = 7). Substituting (y = 7 - x) into the first equation gives (x(7 - x) = 7). This leads to the quadratic equation (x^2 - 7x + 7 = 0). Using the quadratic formula, the solutions for (x) are (x = \frac{7 \pm \sqrt{49 - 28}}{2} = \frac{7 \pm \sqrt{21}}{2}), and corresponding (y) values can be found from (y = 7 - x).