Final answer:
The system is solved by substitution to find that x = -9 and y = 36, making the solution for the system (-9, 36).
Step-by-step explanation:
To solve the system by substitution, we take the first equation y = –2x + 18 and substitute it into the second equation y = -4x. This gives us the following:
–2x + 18 = -4x
Now we can solve for x by adding 2x to both sides:
18 = -2x
Dividing both sides by -2 gives us:
x = -9
To find the corresponding y value, we substitute x back into one of the original equations:
y = -2(-9) + 18
y = 18 + 18
y = 36
The solution to the system is (-9, 36).