Let: Solve by substitution.

\(y = -2x + 1\)

\(y = -6x - 11\)

Substitute (1) to (2) and solve for x: \(-2x+1=-6x-11\)

Add 6x to both sides: \(4x+1=-11\)

Subtract 1 from both sides: \(4x=-12\)

Divide both sides by 4: \(x=-3\)

Sovle for y using (1): \(y=-2(-3)+1\)

\(y=6+1\)

\(y=7\)

So, the solution of the system is: (-3,7)