[tex]\displaystyle (x-3\frac{5}{18})*3\frac{1}{2}=5\frac{1}{2}\\ \\(x-\frac{59}{18})*\frac{7}{2}=\frac{11}{2}\\ \\\frac{7}{2}x-\frac{413}{36}=\frac{11}{2}\\ \\126x-413=198\\ 126x=198+413\\ 126x=611\\ \\x=\frac{611}{126}=4\frac{107}{126}[/tex]