Answer:
To find the solution to the system of equations, we can set the right-hand sides of the equations equal to each other and solve for \(x\):
\(-4x + 11 = -x + 2\)
Simplifying, we get:
\(-4x + x = 2 - 11\)
\(-3x = -9\)
Dividing both sides by \(-3\), we find \(x = 3\).
Substituting this value back into either of the original equations, let's use the second equation \(y = -x + 2\):
\(y = -(3) + 2\)
\(y = -1\)
Therefore, the solution to the system of equations is \(x = 3\) and \(y = -1\), which corresponds to the point \((3, -1)\).
The correct answer choice is O D.