Answer: To find the solution of a system of equations, we can either use substitution or elimination method.
For this system of equations, we can use the substitution method:
First, we solve one equation for one of the variables. For example, we can solve the first equation for y: y = -2x - 4
Then, we substitute this expression of y into the second equation and solve for x: 1/2x + 6 = -2x - 4
We can simplify this equation by adding 2x to both sides: 1/2x + 2x + 6 = -4
And then by adding 6 to both sides: 1/2x + 2x + 12 = 2
And then by multiplying both sides by 2: x + 4x + 24 = 4
And then by simplifying: 5x = -20
Finally, we find x = -4
Now that we have found x, we can substitute it back into one of the equations to find y:
y = -2(-4) - 4 = 8 - 4 = 4
So the solution of the system of equations is x = -4 and y = 4
We can check that this solution satisfies both equations.
Explanation: