Question

13x=7x+5

Answer 1

Solve for x?

Answer 2

yes, i dont even know where to start!!!!

Answer 3

subtract 7x from both sides and tell me what you got

Answer 4

5/6

Answer 5

=x

Answer 6

@rainbow dont just give answers. Please read rules.

Answer 7

\[13x=7x+5\]
Subtract 7x from both sides.
\[13x-7x=7x-7x+5\]
Combine like terms
\[6x=5\]
Divide both sides by 6
\[x={5 \over 6}\]

Answer 8

we are not saposed to give them the answers, you should involve them in getting the answer...

Answer 9

Sorry @zzr0ck3r I'll remember for next time.

Answer 10

AHHHHH..Thank you so much Phoenixfire for explaining!!!

Answer 11

X-2/5=1/2

Answer 12

how would i start this one?

Answer 13

Add 2/5 to both sides. What do you get?

Answer 14

im horrible at this!!! add 2/5 to 2/5 and 1/2?

Answer 15

Yes. type out the entire equation with 2/5 added to both sides.

Answer 16

@mlbach Did you get it?

Answer 17

no, im sorry, trying to do it on paper

Answer 18

im 38 and math is like a foreign language to me!

Answer 19

You have \[x-{2 \over 5}={1 \over 2}\]
So, add 2/5. You get:
\[x-{2 \over 5}+{2 \over 5}={1 \over 2}+{2 \over 5}\]

Try solve from there.

Answer 20

x-4/5=9/10

Answer 21

is that right...9/10

Answer 22

You can see that the -2/5+2/5 results in 0.
\[x-0={1 \over 2}+{2 \over 5}\]

But you got the right hand side correct.

Answer 23

ok, they cancel each other out right?

Answer 24

Correct!
So, \[x={9 \over 10}\]

Answer 25

YAY!!!!! thank you!!!

Answer 26

No problem. :)
Any other problems?

Answer 27

2/7X=6

Answer 28

\[{2 \over 7}x=6\]
Divide both sides by 2/7. The one the left will cancel and then you're left with x=??

Answer 29

how do i know that im dividing?

Answer 30

\[{2 \over 7}x=6\]
Divide by 2/7\[{{{2 \over 7}x} \over {2 \over 7}}={6 \over {2 \over 7}}\]

Answer 31

\[{{2 \over 7} \over {2 \over 7}}=1\] Do you understand that?
Anything divided by itself is 1.

Answer 32

yes

Answer 33

i just dont know how to do 6 divided by 2/7

Answer 34

So, that leave \[1x={6 \over {2 \over 7}}\]
Now, a trick is to dividing by fractions:
\[{a \over {b \over c}}={{c \over b}a}\]
You flip the bottom fraction and multiply the top by it.
Giving you: \[{6 \over {2 \over 7}}={7 \over 2}6\]
Or \[{7*6} \over 2\]

Answer 35

Sorry about the bad grammar.. That was truly horrible.

Answer 36

21?

Answer 37

Yes!
\[x=21\]

Answer 38

can i just put you in my pocket and and take you to class with me?

Answer 39

Hahaha. Yes, if you have a cell phone and internet on it. :)

Answer 40

lol

Answer 41

A telephone book has white pages and yellow pages. ¾ of the book consists of the white pages; the yellow pages number 300. What is the total number of pages in the telephone book?

Answer 42

how would i start this one

Answer 43

White=3/4 of the book
Yellow=1/4 of the book.
So, if 1/4 of the book is 300. How many total pages are there?

Answer 44

900

Answer 45

Almost.
Y=yellow=1/4=300
W=white=3/4=300*3
T=total=W+Y=(300*3)+300=1200

Answer 46

ah. i got it

Answer 47

A theater usher at a Broadway musical finds that ½ of the patrons attending a performance are in their seats by show time. The remaining 60 people are seated after the opening number. If the show is always a complete sellout, how many seats does the theater have?

Answer 48

This one is mostly a play on words.
If you single out a few words: "1/2", "remaining", "sellout"
From this you can see that "sellout" says all seats are taken.
"remaining" means those not seated initially.
"1/2" the initial people seated.

So, if "half" of the attendees are seated before the show, and the "remaining" are seated after the first number. How many seats are there in the theater which is "sold out (ie all seats taken)"?

Answer 49

*** "remaining 60" ***

Answer 50

120?

Answer 51

Correct!

Answer 52

YAY!!!! lol

Answer 53

Getting the hang of it?

Answer 54

right now i am, but come test time, I'll draw a blank!

Answer 55

Of those invited to a wedding, 2/7 were friends of the bride. The friends of the groom numbered 65. How many people were invited to the wedding

Answer 56

Haha. Of course. Nobody can avoid the blank come test time.

Answer 57

unfortunatley not!

Answer 58

what do i look at first?

Answer 59

bride=2/7
Therefore, groom=5/7=65
You can take this known number as a percentile of the total attendees.
\[{5 \over 7}T=65\] Where T= the total number of people attending.
Now solve for T.

Answer 60

where did you get 5/7 from?

Answer 61

Well if the brides guests are 2/7 of the attending people. then the grooms is the remaining guests. Correct? so 1-2/7 = 5/7

Answer 62

oh ok

Answer 63

To solve for T you use the same method as one of the other problems above. The funny trick with dividing by fractions.

Answer 64

Got it yet?

Answer 65

not quite

Answer 66

What are you stuck on?

Answer 67

5/7T=65....i get stuck on how to work the problem out

Answer 68

Well you want to isolate T. Because that's the unknown variable that you want to become known.
So in this case, the only way to do that is to remove the 5/7 from T.
You will want to divide by 5/7 to make it cancel out, leaving T alone on the left.

Answer 69

so do i divide both sidesby 5/7?

Answer 70

answer is 91?

Answer 71

Yes. Because if you change the equation on the left, you have to change it in the same way on the right for the equality to hold.

91 is correct!

Answer 72

awesome!!!!

Answer 73

thank you so much for your help, I appreciate it!

Answer 74

No problem at all. Become a fan of me, and if you need help just send me a message.

Answer 75

Done!