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

Once you graph the equation, you can estimate the solution point is at (1,2)

you can then set the two equations as being equal to each other and plug in this point:

y -x -1 = y + x -3

(2) -(1) -1 = (2) + (1) -3

0 = 0

Both sides equal each other, so the solution works.

(I included a picture of how you can look at the solution on desmos as well)

Answer 2

There is exactly one solution: (1, 2).

Explanation:

For this, it's already in slope intercept form so all you have to do is graph the two and see at what point do these two lines cross, which is (1, 2).

Hope this helps!