-4-7/4x=10 Solve the following equation. Please show all work! Have done just want a second opinion

- anonymous

-4-7/4x=10 Solve the following equation. Please show all work! Have done just want a second opinion

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- phi

what did you get?

- anonymous

x=14

- phi

is the problem
\[ -4 - \frac{7}{4x} = 10\]

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## More answers

- phi

if so,
\[-4 - \frac{7}{4\cdot 14}=10\]
which does not work.
if the problem is
\[ -4 - \frac{7}{4}x=10 \]
then with x=14
\[ -4 - \frac{7}{4}14=10 \]
which also does not work.

- anonymous

I added 4 to both sides

- phi

that is a good start.
but which problem is it (see above)?

- anonymous

I subtracted the ricp from it too, I guess I just need to start over again

- phi

Let's do
-4 - (7/4)x = 10 (the x is up top)
then add 4 to both sides
-(7/4)x= 14
this is what you got, right?
to get rid of the -7/4 *multiply* by the reciprocal on both sides of the equation

- anonymous

yes

- phi

can you do
\[ \frac{-4}{7}\cdot \frac{-7}{4}x= 10\cdot \frac{-4}{7} \]

- anonymous

cant cancel can you since the 4 and 7 are oposit of each other

- anonymous

-4/7*-7/4 =0

- phi

You can cancel (that is why we are doing it).
the order of multiplication does not matter 2*3= 3*2
so
\[ \frac{-4}{7}\cdot\frac{-7}{4} =\frac{-7}{7}\cdot\frac{-4}{4} = -1\cdot -1= 1\]

- anonymous

x=-4/70?

- anonymous

just makes it x

- phi

close, but think of the 10* -4/7 as
\[ \frac{10}{1}\cdot \frac{-4}{7} \]
multiply top times top and bottom times bottom

- anonymous

nice

- anonymous

-4/70

- phi

Let's back up:
-4 - (7/4)x = 10
then add 4 to both sides
-(7/4)x = 14
x = 14 * -4/7
can you finish this?

- anonymous

56/7

- phi

what happen to the minus sign?

- anonymous

forgot to put it in

- anonymous

-56/7

- phi

OK, let's check your answer
x= -56/7
you start with
-4 - (7/4)x = 10
if x is -56/7 then the left-hand side is
-4 - (7/4)*(-56/7)
can you do this?

- phi

before you forget notice that it is minus times minus so -7/4 * -56/7 is + (cancel the minus signs)
also, you can cancel the 7's

- anonymous

14

- phi

keep going, you are doing
-4 - (7/4)*(-56/7)

- phi

you found -7/4 * -56/7 = +14
so now
-4 + 14 =

- anonymous

-4(14)=56

- anonymous

-56

- phi

look at it more carefully we are adding

- anonymous

18

- phi

-4 - (7/4)*(-56/7) --> -4 + 14

- phi

4+14= 18
-4 + 14 = ?

- phi

when you add negative numbers, it's like subtraction.

- anonymous

-10?

- phi

-4 + 14 is the same problem as 14 - 4

- phi

Here is a 5 minute video that might help
http://www.khanacademy.org/video/adding-negative-numbers?playlist=Developmental+Math+2

- anonymous

Thank you it might I hope so thanks for all of your help

- phi

you will get +10 which matches the original
-4 - (7/4)x = 10
you figured out that when x= -56/7 that the equation turns into
10 = 10
which means you got the right answer.

- anonymous

With lots of help from you thanks

- phi

If the video helps and is not too boring, then search for the videos on solving equations (use his search window). If something does not make sense, search for a video that explains it, because he explains *everything*

- anonymous

Thank you I will look at the links wheather they are boring or not I need the info

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