-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.