Question

Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically.

Answer 1

There are infinite solutions.

Explanation:

Here's what your work would like to solve (you can choose either variable to cancel out, I just went with X):

To cancel out X, you'll need to multiply the top equation by 3:

3(x + 2y = -2)

-3x - 6y = 6

Here's what your new equations will look like after distributing the 3:

3x + 6y = -6

-3x - 6y = 6

Your next step is adding the two equations together. When doing so, you should get 0 = 0, which means infinite solutions, because they are the same line.

Hope this helps!