A discrete time linear system has the responses y1[n], y2[n], y3[n] ] as a result of the applied inputs x1[n], x2[n], x3[n] ], respectively. Structures of the mentioned inputs and responses are given in the following figures. Find the response of this system when the input x[n] is applied  as an input by utilizing the given figures.

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Nodal Analysis

In the analysis of any electric circuit, nodal analysis is the method of determining the potential difference or voltage between different nodes in an electric circuit. A node is a point where two or more branches connect each other. In the nodal analysis, the voltages are determined in the terms of branch currents. The nodal analysis is also known as the node voltage method or branch current method. The nodal analysis method is one of the several applications of Kirchhoff's Current Law (KCL).