Just enter the righthand side vector, then divide by the lefthand side matrix as usual.
1: [6, 10] 2: [6, 10] 1: [6 - 4 a / (b - a), 4 / (b - a) ] . 1: [ [ 1, a ] . [ 1, b ] ] . ' [6 10] RET ' [1 a; 1 b] RET /
This can be made more readable using d B to enable "big" display mode:
4 a 4 1: [6 - -----, -----] b - a b - a
Type d N to return to "normal" display mode afterwards.