Solve {l}{delta_{1}v_{1}=delta_{2}v_{2}}{delta_{2}=1/2delta_{1}}{a=v_{2}}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { \delta_{1} v_{1} = \delta_{2} v_{2} }\\ { \delta_{2} = \frac{1}{2} \delta_{1} }\\ { a = v_{2} }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for δ_1, v_1, δ_2, v_2, a, b

$$\delta _{1}=0\text{, }v_{1}\in \mathrm{R}\text{, }\delta _{2}=0\text{, }v_{2}\in \mathrm{R}\text{, }a=v_{2}\text{, }b=v_{2}$$

$$\delta _{1}=2\delta _{2}\text{, }v_{1}=0\text{, }\delta _{2}\in \mathrm{R}\text{, }v_{2}=0\text{, }a=0\text{, }b=0$$

$$\delta _{1}=\frac{v_{2}\delta _{2}}{v_{1}}\text{, }v_{1}=\frac{v_{2}}{2}\text{, }\delta _{2}\neq 0\text{, }v_{2}\neq 0\text{, }a=v_{2}\text{, }b=v_{2}$$