To determine if the point (1, -2) is a solution to the system of equations, we will substitute \( x = 1 \) and \( y = -2 \) into both equations.
- For the first equation:
\[ 20x + 20y = -20 \]
Substituting \( x = 1 \) and \( y = -2 \):
\[ 20(1) + 20(-2) = 20 - 40 = -20 \]
This equation holds true.
- For the second equation:
\[ 2x + 5y = -8 \]
Substituting \( x = 1 \) and \( y = -2 \):
\[ 2(1) + 5(-2) = 2 - 10 = -8 \]
This equation also holds true.
Since both equations are satisfied by the point (1, -2), the answer is yes, (1, -2) is a solution to this system of equations.