Answer & tep-by-step explanation:
To solve the system of equations using the substitution method, we can solve one of the equations for one variable and substitute that expression into the other equation. We'll solve the first equation for y:
y - 2x = 8
y = 2x + 8
Now we substitute this expression for y into the second equation:
16 + 4x = 2y
16 + 4x = 2(2x + 8)
16 + 4x = 4x + 16
Simplifying, we get:
4x = 0
x = 0
Now we can substitute this value for x into either of the original equations to solve for y. Let's use the first equation:
y - 2x = 8
y - 2(0) = 8
y = 8
Therefore, the solution to the system of equations is (0, 8).
The answer choices given do not match this solution, so there is no correct answer among them.