Question

|-13| + 42 = 100y - |-32| - 99y
solve the equation.
need help.

Answer 1

What do absolute value bars do to the numbers inside of them?

Answer 2

makes them whole? that part i know it's the rest of the problem i get lost lol

Answer 3

Yes, it makes them positive. So we can already simplify all the numbers between the absolute value bars. That will yield: \[13 + 42 = 100y - 32 - 99y\] Do you know what to do from here?

Answer 4

subtract y?

Answer 5

Actually, you might want to look for like-terms first. 13 and 42 are like terms. Once we add them together we get:
\[55 = 100y-32-99y\] Also, we can combine 100 and -99y. That gives us 1 y. Now we have:
\[55 = y - 32\]Now we need to move all the terms containing y to the right, all other terms to the left.
Can you tell me how to move 32 to the left?

Answer 6

subtract from 55?

Answer 7

an thanks you helped me alot lol figuring out what i did wrong

Answer 8

actually, remember, what you do to one side of the equation you must do to the other. That gives you a hint as to what you need to do to move 32 to the left.

Answer 9

\[55=y - 32\] Close, but the 55 is fine on the left side of the equation. We can leave it alone. However, we need to do something with the 32 to move it over to the left.. like @juan_9292 said.

And, you're welcome! I'm glad I can help.

Answer 10

okay now i'm confused lol

Answer 11

do we combine like terms again?

Answer 12

Okay, we want to get the "y" term alone, right? So that means we need to get rid of the "-32". What can we add to -32 to make it equal 0?

Answer 13

32

Answer 14

Yes! And since what you do to one side of the equation you must do to the other, we need to add 32 to the left side of the equation as well. \[55=y-32\]\[55 + 32 = y -32 +32\]
\[87 = y + 0\]\[y = 87\] And there's your answer! :D Does that make sense?

Answer 15

we did something wrong lol my multiple choice say 3 -3 61 -61

Answer 16

Hahah oh dang! Let me go back and check my work, hold on.

Answer 17

I'm pretty sure that's the right answer for the problem you provided, though. D: Are you sure you typed in the right problem?

Answer 18

yes lol

Answer 19

no

Answer 20

crap lmao

Answer 21

it's not 42it was 4 to the power of 2 lol

Answer 22

i'm sorry lol

Answer 23

Oh, hahaha! That's okay, we all make mistakes. Let me try to solve it, one second.

Answer 24

okay :)

Answer 25

Okay, it's essentially the same problem.\[|-13| + 4^2 = 100y - |-32| - 99y\] We talked about before how to simplify absolute values.\[13 + 4^2 = 100y - 32 - 99y\] Okay, the order of operations are PEMDAS, as I'm sure you know. Since we don't have any parenthesis, we can simplify the exponents. Whats 4^2?

Answer 26

16

Answer 27

Right!
\[13+16=100y-32-99y\]
So can you combine like terms?

Answer 28

13+16?

Answer 29

Yes, so what is 13 + 16?

Answer 30

29

Answer 31

Correct, so now we have:
\[29 = 100y-32-99y\] Can we combine any other like terms?
I'll give you a hint, you can see them easily if I rearrange the equation like this: \[29 = 100y-99y -32\]

Answer 32

99 and 32?

Answer 33

We can't combine -99y and -32 because -99 has a y attached to it, and -32 doesn't. Do you see any two terms that both have a y attached to them that we could easily combine?

Answer 34

oh lol 100y and 99y

Answer 35

Yes! So if we compute 100y - 99y, what do we get?

Answer 36

1y?

Answer 37

Correct! So now we have the equation:\[29 = y - 32\] How can we get the "y" alone by itself? In other words, how can we move the -32 to the left side of the equation?

Answer 38

minus 32 with 32

Answer 39

or wiyth 29?

Answer 40

oh it will be -3?

Answer 41

No, you were right the first time, with 32. However, we need to do the opposite operation in order to cancel it out. It's already subtracting from y, so we need to add it. Does that make sense?

Answer 42

that's since you want y on its own, all alone

Answer 43

so 29=64?

Answer 44

or 61=64?

Answer 45

That's close! Let's take a look at our equation again:
\[29 = y -32\] We want y all alone on one side, so we need to add 32 to both sides. When we compute -32 + 32, what do we get?

Answer 46

0?

Answer 47

Yes! \[29=y-32\] Like we figured out before, we need to add 32 to both sides.\[29 (+32) = y -32 (+32)\] You correctly said that -32+32 is 0 so:\[29(+32) = y - 0\] y - 0 is y, so we don't even have to write the 0.\[29(+32) = y \] You're almost there! Whats 29 + 32?

Answer 48

61

Answer 49

Yes, so \[61 = y\] We can flip it around so it's:\[y=61\] And there's your answer! Does that make sense? Make sure you understand.

Answer 50

yes thank you (:

Answer 51

You're welcome! :D

Answer 52

@friedch1cken i need your help i did the problem |-17| + 52 = 20y - |-35| - 19y wrong i got y=-42 how i got that answered was i did -17+25=20y-35-19y so i subtracted -19 y from the like terms with the y and got -17+25=y so i subtracted -25 from -17 and 25 and got -42

Answer 53

but the multiple choice say -7 7 -77 77

Answer 54

well lets see, you said that the problem was |-17| +52 = 20y - |-35|- 19y

hmm I got confused as to how you did your work; but lets do this from scratch ok? Or would you like me to point out a mistake?

Answer 55

point out mistake lol

Answer 56

lol, ok, well first mistake I see that you forgot to get the absolute value of the number inside

Answer 57

the absolute value of -17 or |-17| is actually 17. and so on

Answer 58

oh that's what i did wrong lol

Answer 59

yea, and also, I see that you changed 52 into 25 when you were doing your work, perhaps that made you get such a high number.

Answer 60

i kept it negative lol *slaps self*

Answer 61

I think she meant 5^2.

Answer 62

yeah i meant 5^2 lol happened again when i typed

Answer 63

oh, coincides with her work; yea, nevermind about that then :p

Answer 64

Good thing we caught it early :D

Answer 65

thank you both ^_^

Answer 66

no problemo :)

Answer 67

Okay, let me know what you get for an answer :D

Answer 68

lol, I see why you said "Good thing we caught it early"