Question

Are my answers correct?

Answer 1

@Vocaloid

Answer 2

good attempt but not quite

x = 1 is a valid solution because it makes the equation true (try plugging it in to check)

x = 3 is the extraneous one (it makes the equation untrue)

Answer 3

So extraneous means incorrect?

Answer 4

sort of

sometimes when you solve an equation you end up with a "solution" that seems to be true algebraically, but when you go back and plug it in, it ends up not working (in this case, because of the absolute value sign)

Answer 5

that's called an extraneous solution.

a valid solution, by comparison, works when you go back and plug it in

Answer 6

oh ok i see

Answer 7

Can you help me with more?

Answer 8

sure

Answer 9

okay thanks

Answer 10

very close

3x + 5 must equal positive (x-1) or -(x-1)

the second equation, after distributing, is -x + 1 not -x - 1

Answer 11

oh i see, so it would be B? ending with -x+1

Answer 12

yes

Answer 13

okay

Answer 14

good

Answer 15

good

Answer 16

good

Answer 17

good

Answer 18

good

Answer 19

yup good

Answer 20

not sure how to do this one

Answer 21

2/3 and 2/3 are very easy to add together to get 4/3, since they have the same denominator

so you have

(4/3)x = 7/8

you can divide both sides by (4/3) to isolate x

Answer 22

now, if you can't remember the rules for dividing fractions, to divide

(7/8)/(4/3), we flip the numerator and denominator on the second fraction, and change the division sign to a multiplication sign

so it is equivalent to (7/8) * (3/4)

Answer 23

b?

Answer 24

or keep it to d?

Answer 25

(7/8) * (3/4) gives you 21/32 when you multiply across the denom and numerator

this cannot be simplified so B is the best solution

Answer 26

oh ok

Answer 27

can u help me go through this

Answer 28

oh lordy

well first we take

3(2m-9+6m)

and combine the m's together. 2m + 6m = 8m.

3(8m-9)

we can also do this on the right side

3m + 29 -7m

since 3-7 = -4 we get

-4m + 29

Answer 29

so now we have

3(8m-9) = -4m + 29

distribute the 3 to get

24m - 27 = -4m + 29

then combining like terms and solving for m should be straightforward from there

Answer 30

uhh i got a...

Answer 31

hm. not quite.

if you understand up to this point

24m - 27 = -4m + 29

adding 4m to both sides gives us

28m - 27 = 29

and adding 27 to both sides gives us

28m = 27 + 29 = 56

so m = 2

Answer 32

oh yikes.. im rly bad at math

Answer 33

Thanks for helping... Im done for now