$\begin{array}{c}x+2 y=-3 \\ -2 x-4 y=-5\end{array}$
Answer
\(\boxed{\text{The system of equations is dependent and has infinitely many solutions. Therefore, there is no unique solution for x and y.}}\)
Step 1 ：We have a system of linear equations: \(x + 2y = -3\) and \(-2x - 4y = -5\).
Step 2 ：We can see that the second equation is not a multiple of the first one, so we can't use elimination directly.
Step 3 ：However, we can multiply the first equation by 2 and then subtract the second equation from the result to eliminate y.
Step 4 ：Then we can solve for x. Once we have the value of x, we can substitute it into the first equation to solve for y.
Step 5 ：Upon checking the equations again, we realize that the second equation is just the first equation multiplied by -2.
Step 6 ：This means that the system of equations is dependent and has infinitely many solutions.
Step 7 ：\(\boxed{\text{The system of equations is dependent and has infinitely many solutions. Therefore, there is no unique solution for x and y.}}\)
