-1/2x-5y=5

y=-4x-1

To solve this system of equations, let's use the substitution method:

We have the second equation, y = -4x - 1. We can substitute this expression for y in the first equation:

-1/2x - 5(-4x - 1) = 5

Simplify the equation:

-1/2x + 20x + 5 = 5

Combine like terms:

19.5x + 5 = 5

Subtract 5 from both sides of the equation:

19.5x = 0

Divide both sides by 19.5:

x = 0

Now that we have the value of x, we can substitute it back into one of the original equations to find the value of y:

y = -4(0) - 1
y = -1

Therefore, the solution to the system of equations is x = 0 and y = -1.