To solve the system of linear equations:
[tex]\[
\left\{
\begin{array}{l}
-3a + 7b = -16 \\
-9a + 5b = 16
\end{array}
\right.
\][/tex]
we need to find the values of [tex]\(a\)[/tex] and [tex]\(b\)[/tex].
Based on the provided solution steps and the obtained numerical results, we determine the solution as follows:
The solution to this system of equations yields:
[tex]\[
a = -4
\][/tex]
[tex]\[
b = -4
\][/tex]
Therefore, the correct statement about the solution to this system of equations is:
The values of [tex]\(a\)[/tex] and [tex]\(b\)[/tex] are both equal to [tex]\(-4\)[/tex].