To determine if the point \((-3, 8)\) is a solution to the system of equations, we can substitute \(x = -3\) and \(y = 8\) into both equations and check if they hold true.
- For the first equation \(14x + 7y = 14\):
\[ 14(-3) + 7(8) = -42 + 56 = 14 \]
So the first equation is satisfied.
- For the second equation \(20x + 10y = 20\):
\[ 20(-3) + 10(8) = -60 + 80 = 20 \]
So the second equation is also satisfied.
Since the point \((-3, 8)\) satisfies both equations, it is indeed a solution to the system of equations.