Question

The graph of a system of parallel lines will intersect at exactly 1 point.
Always
Sometimes
Never

Answer 1

Parallel lines... @allie_bear22
It's in their very definition :D

Answer 2

"parallel"
train tracks.. do they ever intersect?

Answer 3

no

Answer 4

so it would be never

Answer 5

right?

Answer 6

there you go

Answer 7

Yup

Answer 8

yup

Answer 9

thank you can you help me with another?

Answer 10

aww... what the heck...
Hit me :D

Answer 11

For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you substitute into the first equation?

2x + y = 8
-x - 3y = -12

Answer 12

Well, isolate x in the second equation, please...
What isolate means~ manipulate the equation so that x stands alone on one side of the =sign

Answer 13

okay wat next

Answer 14

Isolate x first, and I'll tell you what's next :)

Answer 15

im not sure how to isolate it

Answer 16

There's a little technique in equations called "transposition" ever heard of it?

Answer 17

yea

Answer 18

that involves
taking a term, and bringing it to the other side, but changing its sign in the process.

Answer 19

am i supposed to do it to both of the equations or just 1?

Answer 20

Just the second equation. Do it until you can get x to stand alone (by alone, I also mean no -sign next to it)

Answer 21

3y-12=-x

Answer 22

Yeah, good... but there is still a -sign next to the x.

Answer 23

because its negitive

Answer 24

Yeah, so what you can do in this case, you can multiply both sides of the equation by -1.

Answer 25

-3y-12=x

Answer 26

You forgot the -12... why is it still negative? :P

Answer 27

-3y+12=x

Answer 28

There. so you now have
x = 12 - 3y

Now substitute this value for x in the x in the first equation, simplify, and that's your answer.

Answer 29

2=12-3y

Answer 30

2x + y = 8
Could you do that again?
Replace x with (12 - 3y)

Answer 31

(12-3)=2?

Answer 32

\[\huge 2\color{red}x + y = 8\]\[\huge \color{red}{x = 12 - 3y}\]

Answer 33

Replace.

Answer 34

(12-3)+y=8
or 12-3y=x

Answer 35

\[\huge 12-3\boxed{\color{red}y}\]Do not leave out these things...

Answer 36

okay wat next

Answer 37

Not yet, not until you do this correctly.
2x + y = 8
x = 12 - 3y
Now replace x in the first equation.

Answer 38

12-3y

Answer 39

Yes... replace x in the first equation with that.

Answer 40

12-3y=8

Answer 41

Nope.... I said replace x, not replace the entire left side...

Answer 42

2(12-3) + y = 8

Answer 43

I told you not to leave this out...
\[\huge 12-3\boxed{\color{red}y}\]

Answer 44

2(12-3y)=8

Answer 45

It was
2x + y = 8
not
2x = 8

Answer 46

2x+(12-3y)=8

Answer 47

No.
2x + y = 8
replace x with 12 - 3y
(I'm really not proceeding from here until you get this step right, this is the most important step)