Let's verify your solution by substituting your values \( x = -8 \) and \( y = -19 \) back into the equations given.
The equations are:
- \( y = 3x + 5 \)
- \( 4x - 2y = 6 \)
Equation 1
Substituting \( x = -8 \):
\[
y = 3(-8) + 5 = -24 + 5 = -19
\]
So the first equation holds true.
Equation 2
Substituting \( x = -8 \) and \( y = -19 \):
\[
4(-8) - 2(-19) = 6
\]
\[
-32 + 38 = 6
\]
\[
6 = 6
\]
So the second equation also holds true.
Your values \( x = -8 \) and \( y = -19 \) are indeed correct! Well done! If you would like to try another problem or need help with anything else, feel free to ask!