# Taking elements in solve and multiplying to a polynomial

So I want a function that solves a system of two equations and the move those numerical results to polynomials f and g.

```
def PolynomialCoefficient(fcn1, fcn2):
var ('a b')
eqn1 = 2*a + 2*b == 0
eqn2 = 3*a - b == 1
List = solve([eqn1, eqn2], a, b)
```

Now I want to move this to `a*f(x)+b*g(x)`

without hitting solve each time
and manually typing what `a`

and `b`

are. For example,
`PolynomialCoefficient(x, y)`

should output `1/4 x - 1/4 y`

.

The issue is `len(List)`

outputs 1. If it was length 2 with `a`

in first slot
and `b`

in 2nd slot, I could do

```
Poly = List[0]*fcn1 + List[1]*fcn2
return Poly
```

Any ideas on how to move `a`

and `b`

?