Solving special systems

-y=4x+1

Y+4x+y=2

Divide - 1 on both sides of the first equation

y = - 4x - 1

simplify the second equation

2y + 4x = 2

plug in the first equation in to the second

2 (-4x - 1) + 4x = 2

-8x - 2 + 4x = 2

-4x - 2 = 2

-4x = 4

x = - 1

Plug that in to the first equation

y = - 4 (-1) - 1

y = 3

The solution to the system of equations is (-1,3)