Step 1 :Given the equation \(3x + y = -1\), we are asked to find two ordered pairs that lie on this line.
Step 2 :We can find these ordered pairs by substituting the given x-values (-1 and 1) into the equation and solving for y.
Step 3 :For \(x = -1\), substituting into the equation gives \(3(-1) + y = -1\), which simplifies to \(-3 + y = -1\). Solving for y gives \(y = 2\). So the ordered pair is \((-1, 2)\).
Step 4 :For \(x = 1\), substituting into the equation gives \(3(1) + y = -1\), which simplifies to \(3 + y = -1\). Solving for y gives \(y = -4\). So the ordered pair is \((1, -4)\).
Step 5 :\(\boxed{\text{The two ordered pairs that lie on the line are } (-1, 2) \text{ and } (1, -4)}\)