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do you know matrices?
@chris00 what part of "based on the graph" isn't clear to you? :-)
"another way of checking"
lets first see wat algebra tells us then we can graph
doesn't have anything to check yet :-)
graphing is too easy
wait I want the easy way :o lol
hahaha You want to learn new things! haah
the fastest way at least I have 10 problems left on a 80 question study guideIm so tired
Here's the easy way to graph it. Substitute 0 for x in first equation, find y. Substitute 0 for y in first equation, find x. Now you've got two points (the x and y intercepts). Draw a line through them. Repeat with the other equation.
alright from the equations, we can easy see that one is a scalar multiple of 2 but there constants are different, hence the lines are parallel and distinct. thus no solutions.
don't really need to graph to be honest.
thats the easiest way
Wait so whpalmer4 I have to draw a whole graph out?
Don't be scared by "draw a graph" — you just have to plot 4 points and draw 2 straight lines. It's not like you're graphing some function where you have to plot a zillion points to see all the wiggles
Okay can you help me plug 0 in like type it while I graph please?
They're trying to get you a visual for the concept. Two lines that intersect represent a system with one solution: the point of intersection. Two lines that are parallel never cross obviously, so have no solutions. Two lines that are coincident have a solution everywhere, so infinitely many.
2x+3y=9 plug in 0 for x: 2(0) + 3y= 9 y = 3 so plot point (0,3) plug in 0 for y: 2x + 3(0) = 9 2x=9 x=4.5 so plot point (4.5,0) draw a line through them. that's your first line.
your nomenclature is off a bit. you can have lines that are parallel and coincident and lines that are parallel and distinct.
okay so i have my first line and lol we are in court im judge judy
lol u believe a website over a maths professor. lmao
and chis is the defendant
coincident is a more restrictive description than parallel, but yes, I'm implying "parallel" to mean not also coincident Have you met the chap who wrote that article?
@Loser66 thanks for the message
lol your being defensive mate. chill.
And thank you whpalmer4 and chris for the help :)
no worries but.
well peace guys and XD could I have a medal for response
other points are (0,5/6) and (5/4, 0)
and so its no solution right?
cool thanks yo XD
thanks for the medal too im going to fan you
good luck with your study!