\left\{ \begin{array} { l } { v _ { 1 } + v _ { 2 } = 30 } \\ { v _ { 2 } + v _ { 3 } = 45 } \\ { \frac { v _ { 2 } } { v _ { 3 } } = \frac { 1 } { 2 } } \end{array} \right.
Solve for v_1, v_2, v_3
v_{1}=15
v_{2}=15
v_{3}=30
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