Question

Algebra help/instruction please?

Answer 1

This looks to be a very simple problem but for the life of me I cant figure it out. Any help would definitely be appreciated :)

Answer 2

The first step in these sort of things is getting rid of the denominators.
Could you? :)

Answer 3

Would I multiply them?

Answer 4

The two big fractions? no.

Answer 5

Argh, I meant the denominators, my bad.

Answer 6

(x+1/5) 5 = (2x-2/6) 6

Am I on the right track or not at all lol

Answer 7

5x+1 = 12x-12 ?

Answer 8

Well, you do have to multiple both sides of the equation by the same number...

Answer 9

Ahh, okay. One moment.

Answer 10

(x+1/5) 5 = (2x-2/6) 5 ?

Answer 11

Here, for everybody's benefit:
\[\Large \frac{x+1}{5}=\frac{2x-2}{6}\]

Answer 12

Haha thanks

Answer 13

If you're having a hard time doing these things, then my suggestion is take things slowly, one step at a time, and don't worry, you'll get faster.
Let's get rid of this denominator:\[\Large \frac{x+1}{\color{red}5}=\frac{2x-2}{6}\]

Answer 14

Thanks @terenzreignz .... Now @TheToneOfSurprise what do YOU think?

Answer 15

5(x+1/5)
5x + 5

Answer 16

No.
\[\Large 5\times \frac{x+1}{5}=\cancel5\times \frac{x+1}{\cancel5}\]

Answer 17

Look at $$\huge \frac{2x-2}{6}$$do you see a simplification? @TheToneOfSurprise

Answer 18

Oh duh, that's right - it cancels out. Sleep deprivation is not recommend lol.

Answer 19

Would we do the same thing to that side?

Answer 20

Hang on. Let Skull finish...

Answer 21

1x-1/3 as a simplification, maybe?

Answer 22

$$\huge \frac{2x-2}{6}= \frac{2(x-1)}{2*3} $$

Answer 23

cross multiplication works aswell, but its good she is getting wat u saying @terenzreignz

Answer 24

That's good @TheToneOfSurprise
So our equation becomes
\[\Large \frac{x+1}{\color{red}5}=\frac{2x-2}{6}\]
\[\Large \frac{x+1}{\color{red}5}=\color{blue}{\frac{x-1}{3}}\]

Mind you, that simplification isn't strictly necessary, but you might make it a habit to simplify when possible, it does just that...it SIMPLIFIES things.

Answer 25

Ready to continue?

Answer 26

Yep, so far so good.

Answer 27

go ahead @terenzreignz Great job!

Answer 28

\[\Large \frac{x+1}{\color{red}5}=\color{}{\frac{x-1}{3}}\]
Now, you already know that to get rid of that 5-denominator, you multiply it by 5, right?

Answer 29

Can we just multiply 5 like this:
\[\Large 5\cdot\frac{x+1}{\color{}5}=\color{}{\frac{x-1}{3}}\qquad \color{red}?\]

Answer 30

Yes, we would end up with x +1, I believe.

Answer 31

My question ^

Answer 32

Nope, what we do to one side we have to do to the other, right?

Answer 33

Very good :)
Multiplying 5 only to one side 'isn't fair' so to speak.
We must be fair XD

Answer 34

\[\Large 5\cdot\frac{x+1}{\color{}5}=\color{}{\frac{x-1}{3}}\qquad \Huge \color{red}\times\]

Answer 35

\[\Large \color{red}5\cdot \frac{x+1}{\color{red}5}=5\cdot\color{}{\frac{x-1}{3}}\qquad\Huge \color{green}\checkmark\]

Answer 36

Can you simplify?

Answer 37

x + 1 = erm...

Answer 38

5x-1/15 or x-1/15 or... im not sure tbh :p

Answer 39

Whoops...
Simplify just the left-side, please...

Answer 40

Oh haha. x+1 ?

Answer 41

Good... good...
\[\Large \color{blue}{x+1}=5\cdot\color{}{\frac{x-1}{3}}\]
Now simplify the right-side.

Answer 42

I still am unsure lol. But 5x-1/15 or x-1/15 would be my two guesses.

Answer 43

Both of them wrong.
But that's what we aim to fix. ^_^
Better you make your mistakes now than during exams, yeah?

\[\Large \color{green}a\cdot \frac{p}q = \frac{\color{green}ap}q\]

did you understand that? :)
when you multiply a number by a fraction, you just multiply it to the NUMERATOR.
And mind you, the WHOLE numerator.

Now, simplify the right-side of\[\Large \color{blue}{x+1}=5\cdot\color{}{\frac{x-1}{3}}\] again.

Answer 44

Ooh, so would it be 5x-1/3? :)

Answer 45

;-; I messed up

Answer 46

5x-5/3

Answer 47

Great. You made a mistake, but you corrected it yourself.
Don't worry... soon you'll be wondering if algebra was hard at all ^_^

Answer 48

\[\Large \color{}{x+1}=\color{blue}{\frac{5x-5}{3}}\]

Answer 49

Yay for progress B)

Answer 50

Now, get rid of that 3-denominator.
I trust you can do it yourself, now? ^_^

Answer 51

3(5x-5/3)
x+1 = 5x - 5
-1 -1
x=5x-6

Answer 52

Wait no I've done it wrong again ;_;

Answer 53

You... have been unjust again -_-

:D

Answer 54

The injustice of only multiplying the right-side by 3 and not the left...

There is no order in the universe D:

Answer 55

Think of it as a balance.

Answer 56

^
<nods>

Answer 57

3(x+1)=3(5x-5/3)
3x+3 = 5x-5
-3 -3
3x = 5x - 8
-5x -5x

-2x = -8
/-2 /-2

x = 4

Answer 58

I think. That I. Have done the thing.

Answer 59

Applause is in order? @skullpatrol ?

Answer 60

Is there any better way to celebrate a job well-done... than by CONFIRMING it? :D
\[\Large \frac{x+1}{5}=\frac{2x-2}{6}\]

Answer 61

>.>

Answer 62

\[\Large x = \color{blue}4\]

Answer 63

\[\Large \frac{4+1}{5}=\frac{2(4)-2}{6}\]

Answer 64

\[\Large \frac55 = \frac{8-2}6\]

Answer 65

I suppose I can do the thing :p

4 + 1 / 5 = 2(4)-2/6
5/5 = 8-2/6
5/5 = 6/6

Answer 66

\[\Large 1 = 1 \qquad \Huge \color{green}\checkmark \]

Answer 67

You did extremely well ^_^

Answer 68

Not yet perfect, but you'll get there soon :)

Answer 69

I really appreciate all of your help @terenzreignz and @skullpatrol ^_^

Answer 70

You can call me TJ.

And no problem ^_^