Final answer:
To solve the system of equations by substitution, substitute the value of y from one equation into the other equation. Solve the resulting equation for x, and then substitute the value of x back into either of the original equations to find the value of y.
Step-by-step explanation:
To solve the system of equations by substitution, we need to substitute the value of y from one equation into the other equation. We are given the equations y = 4x - 8 and Y = 2x. We can substitute 2x for y in the first equation:
2x = 4x - 8
Next, we can solve this equation for x:
2x - 4x = -8
-2x = -8
x = 4
Now, we can substitute the value of x back into either of the original equations to find the value of y:
y = 4(4) - 8
y = 16 - 8
y = 8
Therefore, the solution to the system of equations is x = 4 and y = 8.