Solve the system of equations by graphing:
\[
\left\{\begin{array}{l}
y+2 x=-1 \\
-1 y=2 x+1
\end{array}\right.
\]
Enter your answer as a numbers. If the system is inconsistent (has no solutions), enter DNE (for "does not exist") into each box. If the system is dependent (infinite number of solutions), enter oo into each box (for infinity. These are double letter o's, no zero's.)
Answer: $(x, y)=$
Answer
Thus, the solution to the system of equations is \(\boxed{(0.5, 0)}\).
Step 1 ：First, we rewrite the system of equations in standard form: \begin{align*} -2x + y &= -1, \\ 2x + y &= 1. \end{align*}
Step 2 ：Next, we add the two equations together: \begin{align*} (-2x + y) + (2x + y) &= -1 + 1, \\ 2y &= 0, \\ y &= 0. \end{align*}
Step 3 ：Substitute \(y = 0\) into the first equation: \begin{align*} -2x + 0 &= -1, \\ -2x &= -1, \\ x &= 0.5. \end{align*}
Step 4 ：Thus, the solution to the system of equations is \(\boxed{(0.5, 0)}\).
