Where the above is given, note that the solution to the system is x = 0 and y = -5. See the attached graph
To solve the system of equations \(y = 4x - 5 and \(y = -2x - 5, we'll set the two equations equal to each other:
4x - 5 = -2x - 5
Combine like terms:
6x = 0
Divide by 6:
x = 0
Now that we have the value for \(x, substitute it back into one of the original equations. Let's use \(y = 4x - 5:
y = 4(0) - 5
y = -5
So, the solution to the system is x = 0 and y = -5.