x +a +b +c +d +e +f = 1
16x = 20a + 15b
36a = 10x + 20c + 15e
31b = 6x +20d +15f
20c = 10a
20d = 6a
15e = 10b
15f = 6b
You asked:
Solve the system of equations:\[\begin{aligned}x + a + b + c + d + e + f &= 1\\16 x &= 20 a + 15 b\\36 a &= 10 x + 20 c + 15 e\\31 b &= 6 x + 20 d + 15 f\\20 c &= 10 a\\20 d &= 6 a\\15 e &= 10 b\\15 f &= 6 b\end{aligned}\]
MathBot Answer:
The system of equations has no solution.