حل {c}{frac{125-v_{1}}{2}+v_{2}-v_{1}-frac{v_{1}-75}{3}=0}{frac{v_{2}-125}{7+9.9}+0.5v_{3}-v_{2}+v_{1}=0}{125-v_{1}=v_{3}}{c=frac{125-v_{2}}{7+9.9}}

$$\left. \begin{array} { c } { \frac { 125 - v _ { 1 } } { 2 } + v _ { 2 } - v _ { 1 } - \frac { v _ { 1 } - 75 } { 3 } = 0 } \\ { \frac { v _ { 2 } - 125 } { 7 + 9.9 } + 0.5 v _ { 3 } - v _ { 2 } + v _ { 1 } = 0 } \\ { 125 - v _ { 1 } = v _ { 3 } } \\ { c = \frac { 125 - v _ { 2 } } { 7 + 9.9 } } \end{array} \right.$$

حل مسائل v_1، v_2، v_3، c

$$v_{1} = \frac{23225}{207} = 112\frac{41}{207} \approx 112.198067633$$

$$v_{2} = \frac{73400}{621} = 118\frac{122}{621} \approx 118.196457327$$

$$v_{3} = \frac{2650}{207} = 12\frac{166}{207} \approx 12.801932367$$

$$c=\frac{250}{621}\approx 0.40257649$$