Answer
$23$ commercial launches,
$58$ noncommercial launches.
Work Step by Step
Let
$x=$ the number of commercial launches and
$y=$ the number of noncommercial launches.
Given:$\left\{\begin{array}{ll}
x+y=81 & (1)\\
y=2x+12 & (2)
\end{array}\right.$
Substitute y from ($2$) into ($1$)
$x+y=81$
$x+(2x+12)=81$
$3x+12=81$
$3x=69$
$x=23$
Back-substitute into ($2$)
$y=2(23)+12=58$
$23$ commercial launches,
$58$ noncommercial launches.