Question

Solve the system.
y = -1/3 x + 2 and x + 3y = 3
Answer

(0, 1)

(1, 0)

(3, 1/3)

(3/2, 0)

no solution

Answer 1

plug in y and see what you get

Answer 2

I dont know how to do that....

Answer 3

x+3(-1/3x+2)=3

Answer 4

x-x+6=3
0=-3

Is that a true statement?

Answer 5

I dont think so

Answer 6

Well then, that means that there is no solution.
Also if you plug in all the other points into the equation none of them satisfy the conditions.

Answer 7

@charlieberzak does it make sense?

Answer 8

yea thx, it does make sense, so the answer to this question is no solution?

Answer 9

matrices BRAH

Answer 10

Correct, and @chris00 I don't think he knows how to solve using matrices.. do you @charlieberzak ?

Answer 11

no, not really :/

Answer 12

oh. damn.

Answer 13

\[\large \color{red} {y=-\frac13 x +2}\]\[\large x+3\color{red}y=3\]\[\large x +3\left(-\frac13x +2\right)=3\]\[\large x -x +6 = 3\]\[\large 6 \neq 3\]No solution.

Answer 14

Haha, nice job @Jhannybean as usual

Answer 15

Thank you!

Answer 16

does it make sense, @charlieberzak ?

Answer 17

those two are parallel lines.

Answer 18

and no worries @charlieberzak you'll understand matrices soon enough, and that's make life so much easier for you

Answer 19

parallel and distinct lines!

Answer 20

If you ever need help, just call Miss Jhanny :P

Answer 21

looool

Answer 22

and Chris

Answer 23

and thisguy two

Answer 24

and anyone else that's not me

Answer 25

haha that made sense

Answer 26

and john howard

Answer 27

and btw long time no see @charlieberzak

Answer 28

You see how they are parallel lines?\[ \large\text{equation 1}: \ y= \color{blue}{-\frac13 }x+2\]\[\large \text{equation 2} : x+3y =3\]solve for y. \[\large 3y = -x +3 \]\[\large y=\color{blue}{ -\frac13} x + 3\]

Answer 29

Pfft, her and her fancy equations and explanations xD

Answer 30

Are you @Luigi0210 ? O_o

Answer 31

uhm, no

Answer 32

parallel and DISTINCT lines.

Answer 33

Oh,you sound like him talking that way, lol.

Answer 34

distinct because they have different y-intercepts.

Answer 35

haha chris we have already established that but thanks for the back up

Answer 36

and you can't proof anything :D

Answer 37

haha

Answer 38

who I am is of no importance

Answer 39

for all i know u could be a fish

Answer 40

exactly!