Question

-2/3x=3/10

Answer 1

\[-\frac{2}{3}x=\frac{3}{10}\] like that?

Answer 2

yes

Answer 3

solve in one step via
\[x=\frac{3}{10}\times \left(-\frac{3}{2}\right)\]

Answer 4

oh!! i was flipping the wrong fraction. i flipped the 3/10 and left the -2/3

Answer 5

yeah flip the coefficient of the \(x\) term
leave the number on the other side alone

Answer 6

I'm still getting the wrong answer when I try to check it :(

Answer 7

I'm sorry its -2/5x=3/10. Let me try to solve it now....

Answer 8

ok let me know what you get and i will check your answer

Answer 9

i got 3/4

Answer 10

\[\frac{3}{10}\times \left(-\frac{5}{2}\right)\]

Answer 11

don't forget the \(-\) sign

Answer 12

oo yea... thank you.. i always forget the sign

Answer 13

don't want to do that
instead of getting \(+5\) pts on the test you get \(-5\) pts

Answer 14

LOL.. thank you.. i have another one if u dont mind

Answer 15

go ahead

Answer 16

(y-3)-(y+3)=6y

Answer 17

(-3y)-(3y)=6y?

Answer 18

remove parentheses on the left, and get
\[y-3-y-3=6y\]

Answer 19

no no, \(y-3\) is not \(-3y\) just like \(5-3\) is not \(-3\times 5\)

Answer 20

lets go slow

Answer 21

this is your equation
\[\large (y-3)-(y+3)=6y\] right?

Answer 22

yes

Answer 23

ok now for that minus sign, before can combine like terms you have to remove the parentheses on the left, and make sure to use the distributive law
\[\large y-3-y-3=6y\]

Answer 24

why did u change the + 3 to - 3?

Answer 25

is it clear how i got that from \((y-3)-(y+3)=6y\) ?

Answer 26

good question
it is the distributive law

Answer 27

\[-(y+3)=-y-3\]

Answer 28

oooo yea.. - times y and - times 3

Answer 29

or if this makes it easier
\[\large \color{red}{-1}(y+3)=\color{red}{-1}y+\color{red}{-1}\times 3=\color{red}-y\color{red}-3\]\]

Answer 30

ok got it..

Answer 31

so now on the left you have
\[y-3-y-3\] and you have to combine like terms

Answer 32

you know what you get?

Answer 33

I'm still getting -6y=6y :(

Answer 34

ok close

Answer 35

Because the y's cancel.. then -3-3 is -6

Answer 36

you have \[y-3-y-3\] lets rearrange as
\[y-y-3-3\]

Answer 37

ahh ok. yes you are right, but it is not
\[-6y=6y\] you just said the \(y\)'s cancel (add up to zero) and also \(-3-3=-6\) so the equation is actually
\[-6=6y\]

Answer 38

see the difference? not \(-6y=6y\) but rather \(-6=6y\)

Answer 39

oh yea that's what I meant.. See my problem is rushing through it.. I'm always on the right path but I end up putting something where it's not supposed to be or forgetting my signs. I definitely need to work on that

Answer 40

so the answer is -1

Answer 41

yes, all of this requires being careful
the problem is, if you make one small error, you cannot fix it, you are wrong from there on in
yes, the answer is \(-1\)

Answer 42

got more or are you done?

Answer 43

I have more but I don't want to take up all your time.. do you mind?

Answer 44

no go ahead we can do a couple more

Answer 45

ok :)

Answer 46

1/6x=-7

I flipped changed it to 6/1 times -7/1

Answer 47

yes
what did you get ?

Answer 48

-42/1

or should I cross multiply?

Answer 49

no do not "cross multiply" whatever that means
your answer is \(-\frac{42}{1}\) but if you write that your teacher will think you are not paying attention
just write \(-42\)

Answer 50

in other words, solve
\[\frac{1}{6}x=-7\] by
\[x=-7\times 6=-42\]no need for the ones

Answer 51

yea that's what i left it as -42 :)

Answer 52

got it!
more?

Answer 53

the ones kind of help me during the multiplication process but I remove it once i'm get my answer.

Answer 54

then use it if it helps

Answer 55

1/5f-5=1
solve the equation by first clearing the fraction..
i'm thinking of changing the fraction into a decimal

Answer 56

Is 30 the correct answer?

Answer 57

yes

Answer 58

\[\frac{1}{5}x-5=1\]
\[\frac{1}{5}x=6\]
\[x=6\times 5=30\]

Answer 59

the ratio of 80 minutes and 90 minutes is simply 80/90 right?

Answer 60

reduce by 10 top and bottom

Answer 61

8/9

Answer 62

yes get rid of the zeros
\[\frac{80}{90}=\frac{8}{9}\]

Answer 63

thank you soooo much

Answer 64

yw
got time for one more if you have one

Answer 65

ok sure :)

Answer 66

18.4 as a mixed number is simply 18 4/10 right?
then reduced it would be 18 2/5

Answer 67

yes

Answer 68

yes

Answer 69

nice eye!!

Answer 70

lol...thanks

Answer 71

thank you!!! love that eye

Answer 72

lol...me too