anonymous
  • anonymous
-4-7/4x=10 Solve the following equation. Please show all work! Have done just want a second opinion
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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phi
  • phi
what did you get?
anonymous
  • anonymous
x=14
phi
  • phi
is the problem \[ -4 - \frac{7}{4x} = 10\]

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phi
  • 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
  • anonymous
I added 4 to both sides
phi
  • phi
that is a good start. but which problem is it (see above)?
anonymous
  • anonymous
I subtracted the ricp from it too, I guess I just need to start over again
phi
  • 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
  • anonymous
yes
phi
  • phi
can you do \[ \frac{-4}{7}\cdot \frac{-7}{4}x= 10\cdot \frac{-4}{7} \]
anonymous
  • anonymous
cant cancel can you since the 4 and 7 are oposit of each other
anonymous
  • anonymous
-4/7*-7/4 =0
phi
  • 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
  • anonymous
x=-4/70?
anonymous
  • anonymous
just makes it x
phi
  • 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
  • anonymous
nice
anonymous
  • anonymous
-4/70
phi
  • 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
  • anonymous
56/7
phi
  • phi
what happen to the minus sign?
anonymous
  • anonymous
forgot to put it in
anonymous
  • anonymous
-56/7
phi
  • 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
  • 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
  • anonymous
14
phi
  • phi
keep going, you are doing -4 - (7/4)*(-56/7)
phi
  • phi
you found -7/4 * -56/7 = +14 so now -4 + 14 =
anonymous
  • anonymous
-4(14)=56
anonymous
  • anonymous
-56
phi
  • phi
look at it more carefully we are adding
anonymous
  • anonymous
18
phi
  • phi
-4 - (7/4)*(-56/7) --> -4 + 14
phi
  • phi
4+14= 18 -4 + 14 = ?
phi
  • phi
when you add negative numbers, it's like subtraction.
anonymous
  • anonymous
-10?
phi
  • phi
-4 + 14 is the same problem as 14 - 4
phi
  • phi
Here is a 5 minute video that might help http://www.khanacademy.org/video/adding-negative-numbers?playlist=Developmental+Math+2
anonymous
  • anonymous
Thank you it might I hope so thanks for all of your help
phi
  • 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
  • anonymous
With lots of help from you thanks
phi
  • 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
  • anonymous
Thank you I will look at the links wheather they are boring or not I need the info

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