From the third equation:
1 = (12 - 0) * (R1 / (R1 + Rf)
(R1 / (R1 + Rf) = 1 / 12 (and thus Rf = 11 * R1)
Then plug the 1/12 into the other two equations and you get:
Vl = 4.675
Vh = 5.675
So, pretty close to what you measure, allowing for the resistors to be off a...