#Help with system of linear equations
visual crater
proud nestBOT
- Wait patiently for a helper to come along.
- Once someone helps you, say thank you and close the thread with:
+close
- Feel free to nominate the person for helper of the week in #helper-nominations
- Do not ping the mods, unless someone is breaking the rules.
- If you're happy with the help you got here, and the server overall, you can contribute financially as well:
visual crater
Deimos gave this answer, Idk how they got to that
ionic vault
if a system of two linear equations has one solution, what do you expect to see on a graph when you plot both lines at once?
visual crater
Both points being on the same line
But every I time I plug in 2(0) or y(0), it gives me two seperate lines
ionic vault
Both points being on the same line
no
you expect to see two lines with different slopes crossing once at a certain point
if a system has no solutions, what do you expect to see when you plot the lines?
visual crater
Parallel to each other ?
ionic vault
yes
but more than that: they will be parallel AND will not cross ever
they will have the same slope, but different intercepts
do you follow?
visual crater
I got two intersecting lines for my answer, yet Deimos told me it was same line
I follow
visual crater
Both points on same line? I'm confused. Cause if they're both on the same plane, wouldn't that mean infinite?
ionic vault
if you have infinite solutions, you expect that the lines will meet at infinite points
this would only be possible if both lines were sitting at exactly the same spot on the plane
and this would mean the lines are equal
does it make sense?
you would see a single line if you were to plot both at once
because one would be right "under" the other
visual crater
I get it
visual crater
Both on same plane. But then the points are decimals, which My Lab won't let me. So I'm trying to figure out the points, but I keep getting intersecting lines instead
ionic vault
the lines merged into one
what does it mean for the number of solutions of the system?
ionic vault
I got two intersecting lines for my answer, yet Deimos told me it was same line
and btw how did you end up with this plot?
visual crater
and btw how did you end up with this plot?
I replaced x or y with 0 & 1 to get the point
ionic vault
what point?
visual crater
y+2x=-1
I got (1,-3) and (0,-1)
visual crater
-4x-2y=2
(0,3) (1,-3)
But this one confuses me
Cause sometimes I get a fraction and this isn't asking me to do run/rise
ionic vault
-4x-2y=2
(0,3) (1,-3)
this is not right.
the equation is -4x-2y=2
what happens when you substitute x=0?
visual crater
0-2y=2
y=-1
ionic vault
good
so one point contained in this line is (0,-1)
now if you do x=1, what happens?
visual crater
They are finally on same line
visual crater
Thank you
ionic vault
np!