Final answer:
To solve the system of equations using elimination, we first simplify and solve one equation for a variable and then substitute it back into the other equation. Doing so, we find that the solution is x = -4 and y = 0.4.
Step-by-step explanation:
The question asks to solve a system of equations using the elimination method. The given system includes two equations: 6y - 4x = 20 - 4y and 3x = -12. We can start solving this system by first simplifying the first equation:
6y - 4x = 20 - 4y
Adding 4y to both sides, we get:
10y - 4x = 20
The second equation provided is 3x = -12. Dividing both sides by 3 gives us the value of x:
x = -4
Now we can substitute this value back into the modified first equation:
10y - 4(-4) = 20
Which simplifies to:
10y + 16 = 20
Subtracting 16 from both sides gives:
10y = 4
Dividing by 10, we find that:
y = 0.4
So the solution to the system of equations is x = -4 and y = 0.4.