Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions.

y = 2x – 3
y = –x + 3

Question

Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions.

y = 2x – 3
y = –x + 3

imstuck · Answer

First thing to do is to graph these on a piece of graph paper in the same plane.  Where they cross each other is the solution.  Because they are both straight lines, they will not cross each other more than once, and because they do not have the same slope, they are not parallel, so they definitely WILL cross at some point.  OR...

imstuck · Answer

In order to be sure, after you graph them, make x/y tables for both equations.  The point that both of these equations have in common will be the solution.  After all, that is what a solution to a system of equations is...the point where the graphs cross, aka the point they have in common.  Let me know if you still need assistance with any par

imstuck · Answer

t of that, ok?  Sorry it got cut off.

anonymous · Answer

explain another for a medal?

anonymous · Answer

y = 2x – 5
y + 5 = 2x

imstuck · Answer

Do this the same way, except you have to solve the second one for y.  You would have 
y = 2x-5 when you solve for y.

imstuck · Answer

Then you could make an x/y chart to see how to graph them, and then also to find which point they have in common.  That's the solution...the point they have in common.