solve the following equation for A: 2A/3=8+4A

- anonymous

solve the following equation for A: 2A/3=8+4A

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- amistre64

get all the A stuff to one side...
(2a/3) -4a = 8

- amistre64

get like denominators on the left side to make them add-able

- anonymous

ok im doing this without a calculator i cnt use one because im going in the military and its an asvab test everything i do has to be on paper

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## More answers

- amistre64

(2a/3) - (12a/3) = 8
-10a / 3 = 8

- amistre64

i hardly ever use a calculator :)

- anonymous

me and math not a good combination

- amistre64

we can multiply this by (3) to get a on solid ground:
(3)(-10a/3) = 8(3)
-10a = 24 .... you with me so far?

- anonymous

um kinda slow down just a little bit

- amistre64

let me know if anything I have done doesnt make any sense to you

- anonymous

at the top (2a/3)-12a/3=8 how did you get 12 did u multiply the 3 and 4

- amistre64

yes.
4a (3) 12a
--- x --- = ----
1 (3) 3

- anonymous

so so far im with you

- amistre64

we should be at:
-10a = 24
to get that extra baggage (-10) off of the "a"; we divide it by (-10), becasue -10/-10 = 1. But what we do to one side HAS to be done to the other to keep them EQUAL.
(-10a)/-10 = 24/-10
a = -24/10. How good are you at reducing?

- anonymous

one moment let me write this down

- anonymous

ok (-10a)/-10=24 how

- amistre64

You miss typed it; it is: (-10a)/-10 = 24/-10
-10a 24
---- = --- since -10/-10 = 1 we can write this this way:
-10 -10
24
(1)a = ---
-10

- anonymous

Ok one moment

- anonymous

ok now what do we do

- amistre64

now we have "a" all by its little lonesome and can use it as it is; OR as some tests do, we can "reduce" the fraction, and or put it into decinal form. Its good to know how to do any of them.

- amistre64

what I do to reduce; is I see if the numbers are even and simply halve them till I cant halve no more...

- anonymous

example please

- amistre64

-24/2 -12
------ = ----
10/2 5
-12/5 is as far as itll go and there and 5 cannot divide into 12 evenly so we can leave it like this:
-12/5

- anonymous

ya know i feel really dumb the whole time i was thinking that this symbol / meant to divide wow blonde moment

- amistre64

it is a fraction bar, and all fractions are are divisions of whole numbers.... so yes, it does mean divide :)

- anonymous

oh ok good i thought i was loosing my mind

- amistre64

just be able to see it for all of its potential :)

- anonymous

ok we can keep going :D i want to thank you for helping me. i have a learning disability and math without a calculator is like finding a needle in a hay stack

- amistre64

me.... im just senile :)

- anonymous

hahahaha do you have facebook so if i have any more ? i can ask you

- anonymous

lets keep going

- amistre64

to keep going, we found the value for "a" already:
a = -12/5
If we want to express this as a "mixed" number; we simply do the division and set the "remainder" back over (5) like this:
2 <- we have a whole number of (2)
-----
5| 12
-10
---
2 <-- we have a remainder of (2), so put it back on the (5)
our mixed number for "a" is:
a = 2 2/5

- anonymous

ok hold on while i write it down :D

- amistre64

i forgot the (-) sign... oops
make that:
a = -2 2/5

- anonymous

ok im back

- amistre64

do you understand it all so far?

- anonymous

kinda

- amistre64

the last thing I can try to teach you is how to turn this into a decimal.
If we want to turn -12/5 into a decimal, than we simply keep dividing it til we run out of numbers to have as a remainder:
For example:
2.4
--------
5| 12.000 <- add some "0"s to use.
-10
---
20 <- bring one of the "0"'s down to continue our division
-20
----
0 <-- nothing left to play with, its a "0".
our "decimal" form for the value of "a" is:
a = -2.4
Now the library closes soon, so I have to go home. Ciao :)

- anonymous

ok thank you so much for your help

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