Solve a 2×2 Linear System

Solve the system $ax+by=eax+by=e$, $cx+dy=fcx+dy=f$ for $xx$ and $yy$ without calling a linear solver. The six numbers arrive as the list [a, b, c, d, e, f].

Implement solve(coeffs).

Returns. Return [x, y] as a NumPy array. A singular system (determinant $00$) has no unique solution and raises ValueError.

Examples

Example 1

Input:

solve([2, 1, 1, 3, 5, 7])

Output:

[1.6, 1.8]

Example 2

Input:

solve([1, 2, 2, 4, 3, 6])

Output: Raises ValueError.