Question

Graph the system of equations to determine the solution. In your final answer, include your graph and the solution.

y=x-1
-x+3/2=-y

Answer 1

Look at the graph attached below, there is no solution.

Explanation:

Because you already have y=x-1 in slope intercept form, you can already graph this using technology or drawing the graph on a sheet of paper.

The other equation, however, has yet to be put in slope intercept form.

-x + 3/2 = -y We need to get -1 out of y, to make y positive.

y= x - 3/2

I suggest making 3/2, the y-intercept, into its decimal form, to make it easier to find the y value on the graph.

y= x - 1.5

now that you have converted the second equation into its slope intercept from, you should have this:

y=x-1

y=x-1.5 If you look at my graph attached below, you will see the image of the graph as well as seeing that there is no solution. Since the two equations have the same slope, and different y - intercepts, they will not touch, hence not having a solution