Final answer:
To solve the given system of equations using elimination, we can eliminate the variable 'y' by multiplying the second equation by 2 and adding it to the first equation. The solution of the system is x = -2.5 and y = -1/2.
Step-by-step explanation:
To solve the given system of equations using elimination, we need to eliminate one variable by adding or subtracting the equations. In this case, we can eliminate the variable 'y' by multiplying the second equation by 2, resulting in:
2x - 2y = -8
2x + 2y = -2
Adding these two equations eliminates the 'y' variable:
4x = -10
Dividing both sides of the equation by 4 gives us the solution for 'x':
x = -10/4
x = -2.5
Substituting this value of 'x' into either of the original equations, we can solve for 'y'. Let's use the second equation:
2y = -1
y = -1/2
Therefore, the solution of the system is x = -2.5 and y = -1/2.