Answer:
Infinite solutions.
Explanation:
Since you don't need to graph, you can use substitution or elimination to solve this. Choose a variable to cancel out to solve for the other variable. Let's cancel out x.
To cancel out x, multiply the bottom equation by 2. After doing so, this is what your equations should look like:
Your work:
2x - 4y = -6
2(-x + 2y = 3)
New equations:
2x - 4y = -6
-2x + 4y = 6
Now, add the two equations together. When doing so, you'll see that everything cancels out, which means that after adding you will get 0 = 0. 0 = 0 means there's infinite solutions.