Question

T=5((x−2)/4)+1

Answer 1

and solve for what?

Answer 2

x

Answer 3

sorry

Answer 4

steps please.

Answer 5

I answered that.

Answer 6

i still dont understand it though

Answer 7

Do you know why you can equate two sides of an equation?

Answer 8

\[x=\frac{2}{5} (3+2 T) \]

Answer 9

i know about the order of operations thats not what I need to know.

Answer 10

i need all steps from beginning please!

Answer 11

Robtobey how did you get your solution?

Answer 12

there is no 10 in the equation...

Answer 13

*facepalm*

Answer 14

jwaddell
your equation is little confusing. if solve for x. then x would equal some number with T in them.

Answer 15

yes i know

Answer 16

if you solve it that way then.
\[x=(4(\frac{T}{5})-1)+2\]

Answer 17

WOW the T is throwing me off

Answer 18

first, distribute 5 to (x-2)/2 sop, we get (5x-10)/4 + 1=0, if T=0
then, the LCD is 4, so it will become
(5x-10+4)/4=0
5x-6=0
5x=6
x=1.2

Answer 19

if T=0
then
x=1.1999999999

Answer 20

or, if the value of T is not given, then, x=(4T+6)/5

Answer 21

Pat yours makes sense thanks!

Answer 22

you are welcome.

Answer 23

thanks for the medal.

Answer 24

no prob you wanna help me with one more?

Answer 25

sure.

Answer 26

\[A= (3m+2)/(m-1)\]

Answer 27

solve for m

Answer 28

m=(A(m-1)-2)/3

Answer 29

that is not right pat. since the other m is there also.

Answer 30

yeah, i had a mistake, i did not see it. thanks

Answer 31

m=(A+2)/(A-3)
what did you get?

Answer 32

can u show me the steps too please

Answer 33

m=(-2-A)/3-A

Answer 34

(3m+2)/(m-1)=A, then cross multiply, you will get
3m+2=Am-A
3m-Am=-2-A
m(3-A)=-2-A
m=(-2-A)/(3-A)

Answer 35

would't it be Am-3m=2-A???

Answer 36

or actually Am-3m-2+A

Answer 37

jwaddell06,
Do you still want to see how the first problem was solved, now that the dust has settled?

Answer 38

\[T=\frac{5 (x-2)}{4}+1 \]\[T-1=\frac{5 (x-2)}{4} \]\[4(T-1)=5 (x-2)\]\[\frac{4(T-1)}{5}=(x-2)\]\[\frac{4(T-1)}{5}+2=x \]Simplify the left side to obtain:\[\frac{2}{5} (2 T+3)=x \]

Answer 39

now why wouldnt you multiply the 5 into x-2

Answer 40

The object is to isolate x on the right hand equation side. The easiest path for me was to divide by 5 leaving x - 2. When +2 is added to each side, x is left alone.

Answer 41

That makes sense a little but i thought whenever you were given something like 5(x-2) you were supposed to make it 5x-10 then isolate x from there.

Answer 42

Well the final result should be OK. Give me a minute to work it out.

Answer 43

\[4(T-1)=5 (x-2) \]\[4(T-1)=5 x-10 \]\[4(T-1)+10=5 x \]\[\frac{4(T-1)+10}{5}=x \]\[\frac{2}{5} (2 T+3)=x \]

Answer 44

ok i get it up to the last part how do you get 2/5(2T+3)

Answer 45

\[\frac{4(T-1)+10}{5} \]Simplify the numerator\[\frac{(4 T+6)}{5}\]Factor the numerator\[\frac{(2 (2 T+3))}{5}=x \]Factor the expresssion\[\frac{2}{5} (2 T+3) \]

I actually use Mathematica to do the calculations and had to resolve the problem by hand to answer you follow up questions.

Answer 46

what is mathematica??

Answer 47

I have to break off for about 10 minutes. Will be back then to answer any other questions.

Answer 48

i dont understand how to simplify the numerator like that. sorry its been 10 years since I did algebra if not longer.

Answer 49

what is mathematica?? Here is an introductory video.

http://www.wolfram.com/solutions/education/students/

Answer 50

Simplification is a nicety, but not required to present a valid problem solution.

Answer 51

You're still looking at this .-.