Question

Please helpp!!!!!!!!
Based on the graph of the following system of equations, determine the number of solutions.

2x + 3y = 9
6y = 5 − 4x

No solutions

Exactly one solution

Exactly two solutions

Infinitely many solutions

Answer 1

do you know matrices?

Answer 2

no :(

Answer 3

@chris00 what part of "based on the graph" isn't clear to you? :-)

Answer 4

"another way of checking"

Answer 5

lets first see wat algebra tells us then we can graph

Answer 6

doesn't have anything to check yet :-)

Answer 7

;P

Answer 8

graphing is too easy

Answer 9

wait I want the easy way :o lol

Answer 10

hahaha You want to learn new things! haah

Answer 11

the fastest way at least I have 10 problems left on a 80 question study guideIm so tired

Answer 12

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.

Answer 13

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.

Answer 14

don't really need to graph to be honest.

Answer 15

thats the easiest way

Answer 16

Wait so whpalmer4 I have to draw a whole graph out?

Answer 17

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

Answer 18

Okay can you help me plug 0 in like type it while I graph please?

Answer 19

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.

Answer 20

Yes

Answer 21

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.

Answer 22

your nomenclature is off a bit.

you can have lines that are parallel and coincident and lines that are parallel and distinct.

Answer 23

http://mathworld.wolfram.com/CoincidentLines.html

Answer 24

okay so i have my first line and lol we are in court im judge judy

Answer 25

lol u believe a website over a maths professor. lmao

Answer 26

and chis is the defendant

Answer 27

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?

Answer 28

@Loser66 thanks for the message

Answer 29

lol your being defensive mate. chill.

Answer 30

And thank you whpalmer4 and chris for the help :)

Answer 31

no worries but.

Answer 32

bud*

Answer 33

well peace guys and XD could I have a medal for response

Answer 34

other points are (0,5/6) and (5/4, 0)

Answer 35

and so its no solution right?

Answer 36

u bet

Answer 37

cool thanks yo XD

Answer 38

thanks for the medal too im going to fan you

Answer 39

good luck with your study!