Question

Please explain this to me!!

An equation is shown below:

9x - y = -2

Part A: Explain how you will show all of the solutions that satisfy this equation. (4 points)

Part B: Determine three different solutions for this equation. (4 points)

Part C: Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent.

Answer 1

@agent0smith @Studygirl14 @mathmale @ranga @patrickStar @MayankD

Answer 2

still need help??

Answer 3

yes severly!!

Answer 4

isolate y, what do you have??

Answer 5

-y=-2-9x??

Answer 6

take off all minus signs, you have y = 9x+2, ok??

Answer 7

ok

Answer 8

so do i plug in y to the equation??

Answer 9

So, for part A) solution set ={(x,y) | y = 9x +2, x, y in R}
That is NOTATION. "|" means "such that"
Verbalize it, it will be said: "solutions are set of point (x,y) such that y =9x+2, x and y are in real "

Answer 10

Part B), just arbitrary put x to get y
you can put x =0, then y = 2, so you have (0,2) is one point
you can put x =1, then y =..... to have another point
you can put x = whatever , then y = .... to have one another point
and ..... ANSWER hihihihi

Answer 11

Got me so far??

Answer 12

trying to just give me a minute to process it:)

Answer 13

ok, take your time. :)

Answer 14

ok so i could put x = 1 and y=3 and x=2 and y=4 for part B... Right??

Answer 15

(0,2)
(1,3)
(2,4)

Answer 16

hey, x =1, y\(\neq 3\), let plug y = 9*x +2 , plug x =1into y , then, y =9*1+2 =11\(\neq 3\)

Answer 17

\[y=9*\color{red}{x}+2\\y=9*\color{red}{1}+2=11\]
got what I meant?

Answer 18

yah i think!!! y=9(2)+2 -> 18+2 --> 20....so it would be (2,20) for my last one??

Answer 19

ok

Answer 20

so that was for part B right?? the 3 different solutions??

Answer 21

yeah, but I don't understand what part C is. @agent0smith Please

Answer 22

A system of equations is "inconsistent" if no solutions exist. Graphically, this means that two lines are not intersecting. Can you draw a line that does not intersect that graph of our above equatioN????

Answer 23

i read this but doent truly understand it...

Answer 24

if there are 3 solutions on the graph they are bound to intersect right??
(0,1)
(1,11)
(2,20)
will intersect right??

Answer 25

2 lines are not intersecting iff they are parallel!!

Answer 26

in R^2, that is only 1 case to get 2 lines are not intersecting (that 's they are parallel)
if it is the case, then just replace the last number
I mean: y = 9x + whatever ( not 2) you get the answer
you can pick any number \(\neq 2\) which will make the new one is parallel to the given one.

Answer 27

so... y=9x+5 would work and just put that as the equation that can be paired to form a system of equations that is inconsistent.

Answer 28

yup

Answer 29

Oh my gosh thanks so much!!! how do you give a medal this is my first time on this thing.

Answer 30

NOTATION again, hihihi
\[\begin{cases} y=9x+2\\y =9x+5\end{cases}\]

Answer 31

oh this is hannah not nate i dont want my brother sounding like a girl:)

Answer 32

no need to give me medal. I like students who is willing to study, not just ask for the answer. hihihi

Answer 33

ok:) i dont even know what a medal would be for but ive seen others do it:) thanks again!!!