Solve {c}{10=frac{v_{1}-v_{2}}{-2.5i}+frac{v_{1}}{2}}{frac{v_{1}-v_{2}}{-2-51}=frac{v_{2}}{4i}+frac{v_{2}}{4}}

$$\left. \begin{array} { c } { 10 = \frac { v _ { 1 } - v _ { 2 } } { - 2.5 i } + \frac { v _ { 1 } } { 2 } } \\ { \frac { v _ { 1 } - v _ { 2 } } { - 2 - 51 } = \frac { v _ { 2 } } { 4 i } + \frac { v _ { 2 } } { 4 } } \end{array} \right.$$

Solve for v_1, v_2

$$v_{1}=\frac{1260100}{105829}-\frac{1081200}{105829}i\approx 11.906944221-10.216481305i$$

$$v_{2}=-\frac{91400}{105829}-\frac{10600}{105829}i\approx -0.86365741-0.100161581i$$