Solve {l}{d+b+f+d+y=20}{a+b+d+d+x=20}{z+e+z+c+z=38}{b+a+x+b+a=12}{d+b+x+b+x=14}{b+b+z+x+b=14}{b+d+c+b+x=26}{y+x+z+a+x=23}

$$\left. \begin{array} { l } { d + b + f + d + y = 20 } \\ { a + b + d + d + x = 20 } \\ { z + e + z + c + z = 38 } \\ { b + a + x + b + a = 12 } \\ { d + b + x + b + x = 14 } \\ { b + b + z + x + b = 14 } \\ { b + d + c + b + x = 26 } \\ { y + x + z + a + x = 23 } \end{array} \right.$$

Solve for d, b, f, y, a, x, z, c

$$x=\frac{124-8e}{47}\approx 2.175611604$$

$$y=\frac{32e+303}{47}\approx 8.297553585$$

$$z=\frac{366-13e}{47}\approx 7.035368856$$

$$d=\frac{2e+298}{47}\approx 6.456097099$$

$$b=\frac{7e+56}{47}\approx 1.596339847$$

$$f=\frac{-43e-15}{47}\approx -2.80608763$$

$$a=\frac{164-3e}{47}\approx 3.315854351$$

$$c=\frac{688-8e}{47}\approx 14.175611604$$