\(c,=\dfrac{1}{6}.\left(-\dfrac{13}{5}\right)+\dfrac{5}{3}.\left(-\dfrac{13}{5}\right)\\ =\left(\dfrac{1}{6}+\dfrac{5}{3}\right).\left(-\dfrac{13}{5}\right)=\left(\dfrac{1}{6}+\dfrac{10}{6}\right).\left(-\dfrac{13}{5}\right)=\dfrac{11}{6}.\left(-\dfrac{13}{5}\right)=-\dfrac{143}{30}\)