Question

9|9 – 8x| = 2x + 3

Answer 1

begin by isolating the absolute value...

Answer 2

Whatever in the absolute value can be negative or positive
|x| = 3 means x can equal 3 or -3

Answer 3

So what does that tell you about this equation?

Answer 4

@trenvilla did you get the answer?

Answer 5

no

Answer 6

@trenvilla sorry for taking so long... however lets turn the absolute value symbols into parantheses.

Answer 7

ok
9(9 – 8x) = 2x + 3

Answer 8

Distribute

Answer 9

ok so (81+-72)=2x+3

Answer 10

is that right

Answer 11

81-72x=2x+3 (Personally, I hate writing +-)

Answer 12

So combine like terms... if I were you I would keep my 'x' positive.

Answer 13

ok

so 84-74

Answer 14

No.

Answer 15

81-72x=2x+3

lets look at our 'x' values first.

Answer 16

Is 72 a negative or a positive?

Answer 17

pos

Answer 18

No, in this equation it has a minus sign in front of it right?

Answer 19

So in this case it is negative.

Answer 20

o ok

Answer 21

So how can we combine -72x and the positive 2x to keep the answer POSITIVE?

Answer 22

i dont no how

Answer 23

wont u have to make it -70

Answer 24

No, you can either make this positive 74 OR -74

Answer 25

Remember... if we had -72x = 2x
If we combine we need the 'x' variable to be on one side of the equal sign

Answer 26

ok

Answer 27

Okay, so lets add -72x to the positive 2x

Answer 28

81 = 74x + 3

Answer 29

ok

Answer 30

Can you simplify this by combing the 81 and 3?

Answer 31

yes

Answer 32

So what do you get?

Answer 33

84=74x

Answer 34

No.

Answer 35

You had a 81 and a positive 3 on the other side of the equal sign to get the 3 to the opposite side you want to subtract 3

Answer 36

Which would keep your 'x' on one side and the regular number on the other side

Answer 37

o ya
so 78+74x

Answer 38

78 = 74x

Answer 39

ya i ment =

Answer 40

then you divide and you get \[\frac{ 78 }{ 74}\]

Answer 41

simplify that and what do you get?

Answer 42

1.05'

Answer 43

ia thtat right

Answer 44

Simplify as a fraction

Answer 45

That is right as a decimal but you would ideally simplify to a fraction

Answer 46

1 4 over 74

Answer 47

Okay we have 78/74

Answer 48

So if I were you I would divide the numerator by 2 then the denominator by 2

Answer 49

39/37

Answer 50

That is your answer

Answer 51

thank you for all your help