Let $\left( a _ { n } \right)$ be an arithmetic sequence such that $$\begin{aligned}& a _ { 10 } + a _ { 7 } = 6 \\& a _ { 9 } - a _ { 6 } = 1\end{aligned}$$ the following equalities are given.\ Accordingly, what is $a _ { 1 }$?\ A) $\frac { 7 } { 3 }$\ B) $\frac { 5 } { 2 }$\ C) $\frac { 4 } { 3 }$\ D) $\frac { 5 } { 6 }$\ E) $\frac { 1 } { 2 }$
Let $\left( a _ { n } \right)$ be an arithmetic sequence such that
$$\begin{aligned}& a _ { 10 } + a _ { 7 } = 6 \\& a _ { 9 } - a _ { 6 } = 1\end{aligned}$$
the following equalities are given.\
Accordingly, what is $a _ { 1 }$?\
A) $\frac { 7 } { 3 }$\
B) $\frac { 5 } { 2 }$\
C) $\frac { 4 } { 3 }$\
D) $\frac { 5 } { 6 }$\
E) $\frac { 1 } { 2 }$