can someone help me with algebraic method

Answer:
x = -8; y = 0
Step-by-step explanation:
x + 2y = -8
3x - 4y = -24
We will use the substitution method.
Solve the first equation for x.
x = -8 - 2y
Replace x of the second equation with -8 - 2y, and solve for y.
3x - 4y = -24
3(-8 - 2y) - 4y = -24
-24 - 6y - 4y = -24
-24 - 10y = -24
-10y = 0
y = 0
Now we substitute 0 for y in the first original equation and solve for x.
x + 2y = -8
x + 2(0) = -8
x + 0 = -8
x = -8
Solution: x = -8; y = 0