Question

Simplify & show work: x-1/3 = x+1/4

Answer 1

This gives a false answer.
By adding 1/3 to both sides then subtracting x from both sides you are told that ...
0 = 7/12

Answer 2

We both know this is not true!

Answer 3

There is an answer to it.You need to find the common denominator or something.

Answer 4

I know the aswer is 7. I don't know how to get the answer though.

Answer 5

When you find it OMGI let me know :)

Answer 6

Okay!

Answer 7

Irene just think logically. You are told if you add something to x it is the same result as taking something away from x.
See it like this I am thinking of a number that when you add it to a euro it is the same as taking it away from a euro. The onlt thing it can be is 0

Answer 8

...and even this does not satisfy your equation

Answer 9

I still believe there is an answer... lol. Maybe the common denominator is 12 since the denominators need to be multiplied.

Answer 10

Sorry Irene my analogy was rubbish!
If you add 1/4 to a euro dollar whatever, it is the same as subtracting 1/3 from the same euro. It does not add up, so to speak!

Answer 11

I am confused.

Answer 12

I will do it line by line

Answer 13

there is no answer to it
the given equation is wrong........................`
x gets cancelled

Answer 14

believe me...............................
i am sure
i am studying in class 8(dont worry)

Answer 15

x-1/3 = x+1/4
add 1/3 to both sides
x = x + 1/4 + 1/3
now subtracrt x from both sides so separating variables and constants
0 = 1/4 + 1/3 0= 7/12
Are you happy that 7/12 is equal to 0?

Answer 16

Okay, thank you then!

Answer 17

welcome.............................

Answer 18

Wait, did you read it wrong? I meant x-1 OVER 3 = x + 1 OVER 4.

Answer 19

OK it does not read that way

Answer 20

In this case x = 7

Answer 21

How does it equal 7?

Answer 22

then yhe answer is
(x-1)4=(x+1)3
4x-4=3x+3
x=7
happy..................

Answer 23

So you cross multiply in the beginning? And thank you, i'm happy now!

Answer 24

welcome............yes,u have to cross multiply the denominators................

Answer 25

(x - 1)/3 = (x + 1)/4
multiply both sides by 3
x-1 = 3 (x + 1)/4
multiply both sides by 4
4 (x-1)= 3 (x + 1
Expand bracketrs
4x-4 = = 3x + 3
Subtract 3x from both sides
x-4 = 3
add 4 to both sides
x = 7

Answer 26

Thank you both of you! I understand it now! :)

Answer 27

welcome once again

Answer 28

Great, well done for persevering Irene