Question

I am going to fail plz help me i am begging i will fan and metal if you help
Two lines, A and B, are represented by the equations given below:

Line A: y = x − 2
Line B: y = 3x + 4

Which of the following shows the solution to the system of equations and explains why?

(−3, −5), because the point does not lie on any axis
(−3, −5), because the point satisfies both equations
(−4, −8), because the point satisfies one of the equations
(−4, −8), because the point lies between the two axes

Answer 1

plz help me!

Answer 2

Didn't I already answer this for you?

Line A y = x − 2
Line B: y = 3x + 4

x - 2 = 3x + 4
solve for x, then substitute that value for x to get y

Answer 3

i told you i didnt get it!

Answer 4

what are you still confused about?

Answer 5

i just dont get it

Answer 6

do you know how to solve x - 2 = 3x + 4?

Answer 7

i just want to know how to solve it and have it explained it to me

Answer 8

what does that tell you about the two lines?

Answer 9

well, let's break it down step by step:

x - 2 = 3x + 4

what happens when you add 2 to each side?

Answer 10

i dont know what you mean
Do you mean:
2x-2=3x=6?

Answer 11

no, that's multiplication

ADD 2 to each side of the equal sign (+2)

Answer 12

x - 2 + 2 = 3x + 4 + 2
see how I added + 2 to each side?

Answer 13

yes

Answer 14

great! x - 2 + 2 = x, do you agree?

Answer 15

umm idk it doesnt look right because what did you do with the 3

Answer 16

I am only looking at the left side of the equal sign

x - 2 + 2 = 3x + 4 + 2

JUST look at the left side of the equals sign:
x - 2 + 2
do you agree that x - 2 + 2 = x?

Answer 17

yes i do

Answer 18

good! so now we have:

x = 3x + 4 + 2, do you agree? we replace the left side with x because x - 2 + 2 = x

Answer 19

yes okay i am starting to get it a little bit

Answer 20

ok, now just look at the right side:

3x + 4 + 2
do agree that 3x + 4 + 2 = 3x + 6?

Answer 21

yes i do

Answer 22

awesome, now we put both sides together:

x = 3x + 6 but we're not done yet

Answer 23

what happens when you subtract 3x from each side?

Answer 24

would it become x=3x+3x+6?

Answer 25

not quite. let's break it down into two steps:

this is the left side: x
this is the right side: 3x + 6

now SUBTRACT 3x from the left side, what do you get?

Answer 26

remember how we added + 2 before? it's the same thing, except you SUBTRACT 3x instead of ADDING 2

Answer 27

would x= become -3x?

Answer 28

Not quite, what is x minus 3x?

Answer 29

3x

Answer 30

no, what is x - 3x?

Answer 31

easier question, what is 1 - 3?

Answer 32

-2

Answer 33

right! so what do you think x - 3x is?

Answer 34

are you saying that it is -2x?

Answer 35

YES! we're done with the left side, let's move to the right side:

3x + 6

now subtract 3x and tell me what you get!

Answer 36

6x?
3x+6=9x
9x-6x=(3x)?

Answer 37

I'm not sure where you're getting 9x

"subtract 3x" means minus 3 x

3x + 6 - 3x = ?

Answer 38

6x

Answer 39

no, please try again

Answer 40

easier question: what is a + b - a?

Answer 41

b

Answer 42

Right! so what is 3x + 6 - 3x?

Answer 43

2?

Answer 44

no, please try again...

easier question: what is 3x - 3x?

Answer 45

0x

Answer 46

right, and 0x is the same as 0, right?

so what is 3x + 6 - 3x?