import sympy.physics.mechanics as _me import sympy as _sm import math as m import numpy as _np x, y = _me.dynamicsymbols('x y') a11, a12, a21, a22, b1, b2 = _sm.symbols('a11 a12 a21 a22 b1 b2', real=True) eqn = _sm.Matrix([[0]]) eqn[0] = a11*x+a12*y-b1 eqn = eqn.row_insert(eqn.shape[0], _sm.Matrix([[0]])) eqn[eqn.shape[0]-1] = a21*x+a22*y-b2 eqn_list = [] for i in eqn: eqn_list.append(i.subs({a11:2, a12:5, a21:3, a22:4, b1:7, b2:6})) print(_sm.linsolve(eqn_list, x,y))