The main is to develop a method to solve an arbitrary fuzzy matrix equation system by using the embedding approach. Considering the existing solution to <svg style="vertical-align:-0.1638pt;width:34.724998px;" id="M1" height="8.7124996" version="1.1" viewBox="0 0 34.724998 8.7124996" width="34.724998" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,0,0,-.017,.062,8.438)"><path id="x1D45B" d="M495 86q-46 -47 -87 -72.5t-63 -25.5q-43 0 -16 107l49 210q7 34 8 50.5t-3 21t-13 4.5q-35 0 -109.5 -72.5t-115.5 -140.5q-21 -75 -38 -159q-50 -10 -76 -21l-6 8l84 340q8 35 -4 35q-17 0 -67 -46l-15 26q44 44 85.5 70.5t64.5 26.5q35 0 10 -103l-24 -98h2
q42 56 97 103.5t96 71.5q46 26 74 26q9 0 16 -2.5t14 -11.5t9.5 -24.5t-1 -44t-13.5 -68.5q-30 -117 -47 -200q-4 -19 -3.5 -25t6.5 -6q21 0 70 48z"/></g><g transform="matrix(.017,0,0,-.017,12.37,8.438)"><path id="xD7" d="M528 54l-36 -38l-198 201l-198 -201l-36 38l197 200l-197 201l36 38l198 -202l198 202l36 -38l-197 -201z"/></g><g transform="matrix(.017,0,0,-.017,26.122,8.438)"><use xlink:href="#x1D45B"/></g> </svg> fuzzy matrix equation system is done. To illustrate the proposed model a numerical example is given, and obtained results are discussed.