Question

Which expressions would complete this equation so that it has infinitely many solutions?

8 + 2(8x – 6) =

Choose exactly two answers that are correct.

A.
2(4x + 7) i think its <--- and

B.
9x – 10

C.
16x – 4 this one <-- :)

D.
4(4x – 1)

Answer 1

@tom982

Answer 2

i put 8 + 2 (8x - 6) = 2(4x + 7)

Answer 3

Let's rewrite the first term a little: 8+2(8x-6)=16x-4.
Rewrite the other four as well:
A: 2(4x+7)=8x+14
B: 9x-10
C: 16x-4
D: 4(4x-1)=16x-4

Okay so firstly we can see that C is the same as our first equation so we know this is an answer because 16x-4=16x-4 works for any x. We also worked out that D is equal to 16x-4 so this is your second answer :)

Answer 4

then i ended up with
8 + 2(8x - 6) = 2(4x +7)
8 + 16x - 12 = 8x + 7
16x - 4

Answer 5

O.O whaaaaaaaaaaaaaaaaaaaaa?

Answer 6

lol, which bit don't you get?

Answer 7

sso you say the answer is C and D?

Answer 8

Yeah

Answer 9

well can you break it down how you broke it down before

Answer 10

Do you understand what I did to A, B, C and D?

Answer 11

no

Answer 12

I'm just simplifying the terms, so for A: 2(4x + 7)=8x+14

Answer 13

Are you with me so far?

Answer 14

uh so your pluging in 8 + 2(8x - 6)?

Answer 15

with the answer's?

Answer 16

Slow down a bit :) Okay so the question specifies that we're looking for answers with infinitely many solutions, so we want equations like x=x, do you agree?

Answer 17

now i wrote on the paper
8 + 2(8x-6) = 16x-4
8+ 16x -12 6x - 4
6x-4 = 6x -4?

Answer 18

where looking for x = x you say?

Answer 19

Equations of that form, yes. y=y, z=z it doesn't matter, all we want is when both sides are the same because this is true regardless of the value of x we pick. If we have x=x, then this is true for 1: 1=1, 2: 2=2, 3: 3=3 and so on. It's also the same for 16x-4=16x-4 :) As our initial equation simplifies down to 16x-4, we're looking to find two answers that simplify down to this as well - which, in this case, is C and D :)

Answer 20

-.-

Answer 21

@tom982

Answer 22

HOW YOU KNOW YOU LOOKIN FOR A EQUAL?

Answer 23

FOR IT TO BE EQUAL

Answer 24

We want infinite solutions, there are ONLY infinite solutions when the equation is of the form x=x.

Answer 25

OH

Answer 26

SOO

Answer 27

HOW IS IT C AND D WHAT DID YOU SOLVE JUST BREAK DOWN THE NUMBERS ON HOW YOU GOT IT TO BE C AND B

Answer 28

I MEAN C AND D

Answer 29

TOM!?

Answer 30

O.O

Answer 31

-.- THANX FOR UR HELP II GUESS

Answer 32

I'm still here, but I've got work of my own to do as well so I might come and go for a few minutes.

Answer 33

Do you agree our initial expression is 16x-4?

Answer 34

This is the same as C, so C is an answer.

Answer 35

how you use 16x - 4 and you pick C and D? o.o

Answer 36

Simplify 8 + 2(8x – 6)

Answer 37

i get 16x - 4

Answer 38

oh.

Answer 39

then what

Answer 40

Now look for A-D which is 16x-4.

Answer 41

ohhhhh

Answer 42

now i get it

Answer 43

Thank god, I've run out of ways to explain it haha. Glad you understand.

Answer 44

lol thats all you had to say THANKS!

Answer 45

sorry for not understanding i would have quite if i was you tbh

Answer 46

kk bye

Answer 47

No need to be sorry, I was in your position 10 years ago so it's nice to pass on the favour :)

Answer 48

lol k :)