Question

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

Answer 1

what did you get?

Answer 2

x=14

Answer 3

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

Answer 4

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.

Answer 5

I added 4 to both sides

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

yes

Answer 10

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

Answer 11

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

Answer 12

-4/7*-7/4 =0

Answer 13

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

Answer 14

x=-4/70?

Answer 15

just makes it x

Answer 16

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

Answer 17

nice

Answer 18

-4/70

Answer 19

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?

Answer 20

56/7

Answer 21

what happen to the minus sign?

Answer 22

forgot to put it in

Answer 23

-56/7

Answer 24

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?

Answer 25

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

Answer 26

14

Answer 27

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

Answer 28

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

Answer 29

-4(14)=56

Answer 30

-56

Answer 31

look at it more carefully we are adding

Answer 32

18

Answer 33

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

Answer 34

4+14= 18
-4 + 14 = ?

Answer 35

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

Answer 36

-10?

Answer 37

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

Answer 38

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

Answer 39

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

Answer 40

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.

Answer 41

With lots of help from you thanks

Answer 42

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*

Answer 43

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