YanaSidlinskiy
  • YanaSidlinskiy
Solving by the graphing method! Solve the system of equations by graphing. 2x=y+3 4x-3=2y
Mathematics
schrodinger
  • schrodinger
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YanaSidlinskiy
  • YanaSidlinskiy
For the first equation, my solution is: y=(1,-1) y=(0,-3)
YanaSidlinskiy
  • YanaSidlinskiy
For the second one, my solution is: y= (1,1/2) y=(0,-3/2)
YanaSidlinskiy
  • YanaSidlinskiy
What am I doing wrong? Unless I'm misunderstanding how to graph. If that's the case then I'm ready to give up my own brains and use someone elses:)

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anonymous
  • anonymous
Hey.. You will get one solution for both the equations?
YanaSidlinskiy
  • YanaSidlinskiy
It's supposed to be no solution my teacher said.
anonymous
  • anonymous
Wait..
YanaSidlinskiy
  • YanaSidlinskiy
I'm actually about to blow up and die instead of waiting:)!
anonymous
  • anonymous
From first equation, bring x and y on one side and similarly do that in second equation, bring constant on right side..
ganeshie8
  • ganeshie8
|dw:1437585504562:dw|
YanaSidlinskiy
  • YanaSidlinskiy
Does that mean I solved it wrong?
ganeshie8
  • ganeshie8
The solution to a system is the points where all the curves meet Look at the graphs, do they seem to meet anywhere ?
anonymous
  • anonymous
2x - y = 3 4x - 2y = 3
anonymous
  • anonymous
I think your teacher is wrong then. :)
YanaSidlinskiy
  • YanaSidlinskiy
No, they don't so it's not solution.
YanaSidlinskiy
  • YanaSidlinskiy
*no solution
anonymous
  • anonymous
Yeah I mean your teacher is right and you are not.. :P
ganeshie8
  • ganeshie8
Exactly! (1,-1) is a solution to first equation (1,1/2) is a solution to second equation but there is no solution to the system : from the graph it is clear that the lines are running parallel, so they not gonna intersect
YanaSidlinskiy
  • YanaSidlinskiy
So I guess the problem is that I'm graphing wrong then.....
ganeshie8
  • ganeshie8
|dw:1437586073316:dw|
ganeshie8
  • ganeshie8
which tool are you using to graph ?
YanaSidlinskiy
  • YanaSidlinskiy
What do you mean?
ganeshie8
  • ganeshie8
https://www.desmos.com/calculator
YanaSidlinskiy
  • YanaSidlinskiy
Thanks soo much!! Honestly I feel stupid everytime I ask you a question. Hahha!
ganeshie8
  • ganeshie8
This is a trick question, one easy way to know that the system has no solution is by working the slope of both the lines. If the slopes are equal and the equations are not same, then the lines are parallel and never intersect
YanaSidlinskiy
  • YanaSidlinskiy
Yeah, I've been trying to work these out and so far it's not coming along great how I wanted it too. But, I never heard that trick before. Thanks again!! You're a great help!!
YanaSidlinskiy
  • YanaSidlinskiy
Wait, I have another one similar to this one.
YanaSidlinskiy
  • YanaSidlinskiy
I actually have a question. For example when solving for an equation and one the question it says "any x-value can be used...." does that mean I can use any number and come out to the correct answer?

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