Question

The graph of the following system of equations is

Answer 1

@TheSmartOne

Answer 2

first, you want to convert this to y=mx+b form. can you do this? @Sparklestaraa

Answer 3

you can see that the second equation is three times the first equation. That means the first and the second equations are the same, so they are...?

Answer 4

to convert to y=mx+b, you have to solve for y
Here's an example:

2x+y=6
-2x -2x
--------
y=-2x+6
^
does that make sense?

now try the other equation
@Sparklestaraa

Answer 5

myltiply every term in the 1st line by 3, what do you get..?

Answer 6

waiting for a response from the asker...

Answer 7

Ok

Answer 8

@Jamierox4ev3r i agree with @M4thM1nd because if you convert the lines to y=mx+b form, she'll just be doing extra work

Answer 9

6x + 3y = 18

3y=18+6x?

Answer 10

ah true i didn't even see that xDD but converting the equations makes it that much easier to see

Answer 11

@Sparklestaraa then divide everything by 3

3y=-6x+18
/3 /3 /3
---------
y=

Answer 12

here is my suggestion take the 1st line 3x + y = 6

and multiply every term by 3

\[3 \times 2x + 3 \times y = 3 \times 6\]

what do you notice... that's all the calculation you need for the question

Answer 13

@campbell_st or divide the second equation by 3 which would make it easier for everyone to see

Answer 14

\[\frac{ 6x+3y=18 }{ 3 }\]

Answer 15

lol... funny thing is... people find multiplication easier than division...

but its whatever @Sparklestaraa finds easier... I just posted my comment as it appeared that the methods suggested contained unnecessary steps

Answer 16

XD really @campbell_st ? i never knew that

Answer 17

so please choose whatever method you feels suits you.... the key to the question is looking 1st then thinking what you can do.

it all comes with experience.

Answer 18

I don't know which is better i really don't still understand it

Answer 19

an alternate method is to graph both lines and study them that way.

Answer 20

oh no the graph is confusing in itself so idk whichever method is easier

Answer 21

every method posted will get you to a solution... so it depends on what skills you have and what you feel comfortable with.

Answer 22

idk maybe the multiplication but I'm lacking skills xD @campbell_st

Answer 23

@SyedMohammed98 :D SHUKRAN :D

Answer 24

They are parallel correct

Answer 25

yupp

Answer 26

@ThatOneGuy00

Answer 27

these lines aren't parallel

multiply every term in the 1st line by 3

\[3 \times 2x + 3 \times y = 3 \times 6~~~~so~you~get~~~~6x + 3y = 18\]

the 2nd line is

6x + 3y = 18

so you have the same line... or overlapping... the 1st line sits exactly on top of the 2nd line...

Answer 28

oops...sorry