Hello!
Since we already see an equation that equals y (-2x-4), we can plug that equation into the first to solve for x.
x+4(-2x-4)=19
x-8x-16=19
-7x=35
x=-5
Now that we know the value of x, we will plug it into the second equation to solve for y.
y=-2(-5)-4
y=10=4
y=6
This gives us the answer below
[tex] \left \{ {{x=-5} \atop {y=6}} \right. [/tex]
The correct answer is A) (-5,6)
I hope this helps!