diff --git a/src/gui/PivotGui.cpp b/src/gui/PivotGui.cpp
index 6b0988d..ac120ad 100644
--- a/src/gui/PivotGui.cpp
+++ b/src/gui/PivotGui.cpp
@@ -14,6 +14,32 @@ struct GuiMatrix {
 	int matrixSizeY = 4;
 };
 
+static void ResizeGuiMatrix(bool refresh, GuiMatrix& guiMatrix) {
+	if (refresh) {
+		guiMatrix.matrixValues.resize(guiMatrix.matrixSizeY);
+		for (auto& row : guiMatrix.matrixValues) {
+			row.resize(guiMatrix.matrixSizeX, 0);
+		}
+	}
+}
+
+static void RenderMatrix(bool& refresh, GuiMatrix& guiMatrix) {
+	ResizeGuiMatrix(refresh, guiMatrix);
+
+	for (int y = 0; y < guiMatrix.matrixSizeY; y++) {
+		for (int x = 0; x < guiMatrix.matrixSizeX; x++) {
+			if (x > 0)
+				ImGui::SameLine();
+			ImGui::PushID((guiMatrix.matrixSizeX * 20 + guiMatrix.matrixSizeY * 50) + y * guiMatrix.matrixSizeX + x);
+			ImGui::PushItemWidth(60);  // Adjust this value to change the cell size
+			if (ImGui::InputInt("", &guiMatrix.matrixValues[y][x], 0, 0, ImGuiInputTextFlags_CharsDecimal))
+				refresh = true;
+			ImGui::PopItemWidth();
+			ImGui::PopID();
+		}
+	}
+}
+
 static Matrix LoadMatrixFromStdVect(const std::vector<std::vector<int>>& data) {
 	Matrix result {data.size(), data.empty() ? 0 : data[0].size()};
 	for (std::size_t i = 0; i < result.GetRawCount(); i++) {
@@ -30,6 +56,19 @@ static std::string ElementToString(Matrix::Element e) {
 	return ss.str();
 }
 
+static std::string PrintRawMatrix(const Matrix& mat) {
+	if (mat.GetRawCount() == 0)
+		return "";
+
+	std::string result = " ( ";
+	for (std::size_t j = 0; j < mat.GetRawCount(); j++) {
+		result += ElementToString(mat.at(j, 0)) + ", ";
+	}
+	result = result.substr(0, result.size() - 2);
+	result += " )";
+	return result;
+}
+
 static std::string PrintVect(const Vect& vect) {
 	if (vect.GetCardinal() == 0)
 		return "{0}";
@@ -37,12 +76,8 @@ static std::string PrintVect(const Vect& vect) {
 	std::string result = "Vect( ";
 	for (std::size_t i = 0; i < vect.GetCardinal(); i++) {
 		Matrix vector = vect.GetVector(i);
-		result += " (";
-		for (std::size_t j = 0; j < vect.GetDimension(); j++) {
-			result += ElementToString(vector.at(j, 0)) + ", ";
-		}
-		result = result.substr(0, result.size() - 2);
-		result += " ), ";
+		result += PrintRawMatrix(vector);
+		result += ", ";
 	}
 	result = result.substr(0, result.size() - 2);
 	result += "  )";
@@ -51,7 +86,77 @@ static std::string PrintVect(const Vect& vect) {
 
 void PivotGui::Init() {}
 
-static void RenderSystemTab() {}
+static void RenderLeftSystemChild(bool& refresh, GuiMatrix& system, GuiMatrix& origin) {
+	ImVec2 topLeftWindowSize(ImGui::GetContentRegionAvail().x * 0.5f, 0);
+
+	ImGui::BeginChild("Left Child", topLeftWindowSize, ImGuiChildFlags_Border);
+
+	ImGui::Text("Système de la forme AX=B");
+	ImGui::Separator();
+	ImGui::Text("Taille matrice A :");
+
+	if (ImGui::InputInt("##RowsMatriceInitiale", &system.matrixSizeY))
+		refresh = true;
+	system.matrixSizeY = std::max(1, system.matrixSizeY);
+	ImGui::SameLine();
+	ImGui::Text("Lignes");
+
+
+	if (ImGui::InputInt("##ColumnsMatriceInitiale", &system.matrixSizeX))
+		refresh = true;
+	system.matrixSizeX = std::max(1, system.matrixSizeX);
+	ImGui::SameLine();
+	ImGui::Text("Colonnes");
+
+	ImGui::NewLine();
+
+	RenderMatrix(refresh, system);
+
+	if (refresh) {
+		origin.matrixSizeX = 1;
+		origin.matrixSizeY = system.matrixSizeY;
+	}
+
+	ImGui::NewLine();
+	ImGui::Separator();
+	ImGui::Text("Matrice B :");
+	ImGui::NewLine();
+
+	RenderMatrix(refresh, origin);
+
+	ImGui::EndChild();
+}
+
+static void RenderRightSystemChild(bool& refresh, GuiMatrix& system, GuiMatrix& origin) {
+	ImGui::BeginChild("Right Child", {0, 0}, ImGuiChildFlags_Border);
+
+	static std::string result = "";
+
+	static Solver solver;
+
+	if (refresh) {
+		VectAffine solutions =
+			solver.RectangularSystem(LoadMatrixFromStdVect(system.matrixValues), LoadMatrixFromStdVect(origin.matrixValues));
+
+		result = "Solutions :\n";
+		result += PrintVect(solutions.GetBase());
+		result += "\n\n+\n\n";
+		result += PrintRawMatrix(solutions.GetOrigin());
+	}
+
+	ImGui::TextWrapped("%s", result.c_str());
+
+	ImGui::EndChild();
+}
+
+static void RenderSystemTab() {
+	static GuiMatrix guiMatrix, originMatrix;
+	static bool refresh = true;
+
+	RenderLeftSystemChild(refresh, guiMatrix, originMatrix);
+	ImGui::SameLine();
+	RenderRightSystemChild(refresh, guiMatrix, originMatrix);
+}
 
 static void RenderLeftGaussChild(bool& refresh, GuiMatrix& guiMatrix) {
 	// divisions des fenetres
@@ -89,25 +194,7 @@ static void RenderLeftGaussChild(bool& refresh, GuiMatrix& guiMatrix) {
 
 	// Resize matrixValues and initialize new elements to 0
 
-	if (refresh) {
-		guiMatrix.matrixValues.resize(guiMatrix.matrixSizeY);
-		for (auto& row : guiMatrix.matrixValues) {
-			row.resize(guiMatrix.matrixSizeX, 0);
-		}
-	}
-
-	for (int y = 0; y < guiMatrix.matrixSizeY; y++) {
-		for (int x = 0; x < guiMatrix.matrixSizeX; x++) {
-			if (x > 0)
-				ImGui::SameLine();
-			ImGui::PushID(y * guiMatrix.matrixSizeX + x);
-			ImGui::PushItemWidth(60);  // Adjust this value to change the cell size
-			if (ImGui::InputInt("", &guiMatrix.matrixValues[y][x], 0, 0, ImGuiInputTextFlags_CharsDecimal))
-				refresh = true;
-			ImGui::PopItemWidth();
-			ImGui::PopID();
-		}
-	}
+	RenderMatrix(refresh, guiMatrix);
 
 	// ImGui::EndChild();	// End Matrice initiale
 
@@ -166,7 +253,7 @@ static void RenderRightGaussChild(bool& refresh, GuiMatrix& guiMatrix) {
 			equationsResultImage = equationsResultImage.substr(0, equationsResultImage.size() - 3) + " = 0\n";
 		}
 
-		result = std::string("Noyau: ") + "\n" + PrintVect(solver.Kernel(LoadMatrixFromStdVect(guiMatrix.matrixValues))) + "\n" +
+		result = "\nNoyau: \n" + PrintVect(solver.Kernel(LoadMatrixFromStdVect(guiMatrix.matrixValues))) + "\n" +
 				 "\n" + "Rang: " + "\n" + std::to_string(solver.Rank(LoadMatrixFromStdVect(guiMatrix.matrixValues))) + "\n" + "\n" +
 				 "Image: " + "\n" + PrintVect(image);
 	}