anonymous
  • anonymous
Solve by graphing. If there isn't a unique solution to the system, state the reason. x-y=3 x+y=5 Please explain how to solve. I was only able to find one point which I understand is the answer but how do I find the other points to determine where my lines are on the graph?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Well two lines intersect at 1 point, infinite points(they are the same), or don't intersect(they are parallel).
anonymous
  • anonymous
The point you find is probably the right point.
anonymous
  • anonymous
(4,1)

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anonymous
  • anonymous
You should graph each line separately, be putting it in standard form if you like y = mx + b. and put in the intercepts and what not
anonymous
  • anonymous
But I need to know how to get the rest of the points to figure out what type of lines I have. ex: consistent, dependent, inconsistent
anonymous
  • anonymous
What do you mean by that? Two lines in a plane, will only intersect at most one point. Or they will be the same line. Or if they are parallel they will never intersect.
anonymous
  • anonymous
To graph it, you can take the first line and make it y = x - 3. Find the intercepts: by setting y = 0, solving for x. Then set x=0, solving for y. Plot these points and draw a line between them. That will be your first line.
anonymous
  • anonymous
Ok I have the point on the graph. Which way do you draw the line? I can draw the line in many directions. How do I find point 2 to give me the direction of my line?
anonymous
  • anonymous
(4,1) is my first point after solving for X and Y
anonymous
  • anonymous
So we will take the first line x - y = 3. Set y=0 and find that x = 3. | |<---- y=3 when x = 0 -------- <---- x=3 when y= 0 | |
anonymous
  • anonymous
You can do the same with the second line.
anonymous
  • anonymous
WAIT sorry y=-3! so it will be below the x-axis.
anonymous
  • anonymous
I hate to seem like an idiot but how did you get the -3 exactly?
anonymous
  • anonymous
I solved the equation like this: x-y=3 x+y=5 add both equations 2x=8 Y's cancel and then divide both sides by 2 x=4 Then I did the same thing only cancelling the X's and then solved for Y getting Y=1
anonymous
  • anonymous
This gave me the intersecting point. Now I need to find the other points to know which way my two lines are going.
anonymous
  • anonymous
a
anonymous
  • anonymous
Ha don't say that. I am probably explaining badly
anonymous
  • anonymous
You did that perfectly. We can now just draw the lines. We can get -y =3 because x - y =3; x=0 (0) -y =3.
anonymous
  • anonymous
so the first line will go through (0,-3) (3,0) and (4,1)
anonymous
  • anonymous
ok I understand now. Thanks for your help. I just got a little stuck.
anonymous
  • anonymous
No problem!

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