x 1=x4+5/6*x2
x2=x4+9/20*x3
x3=x4+ 13/42*x 1
y 1=7/ 12*(x2+y2)
y2=9/20*(x3+y3)
y3= 1 1/30*(x4+y4)
y4 = 13/42 *(x 1+y 1)
After completing the simplification, you get
x 1=5936/2376*x4
x2= 178/99*x4
x3= 1580/89 1*x4
y 1 = 2402 120/ 1383 129 * x4
y2=543694/46 1043*x4
y3 = 3709 10 1600773436857/4377498837804 122 1 12 * x4
y4 = 7364065427525072 19 19/56 17790 175 18 19567 104 * x4
Because the number of cattle must be an integer, so? x4 = 56 17790 175 18 19567 104 * K? (K= 1, 2, 3, ...), take K= 1 and get a set of solutions:
x 1 = 140350 178787374 137344
x2 = 10 1006732442665484288
x3 = 996 1962375743537 1520
x4 = 56 17790 175 18 19567 104
y 1 = 9756578 1 178820502702
y2 = 662488924353 125 13234
y3 = 47600 1372099257720 10
y4 = 7364065427525072 19 19
The figure at the back is too big, which is calculated by the computer. I really admire Archimedes' hand-calculated results. Cows are cows! However, the sun god has many cows, probably more than the stars in the solar system!