Can somebody help me figure this problem out 7x + 7= 14/3

Question

7x + 7 = 14/3 y 12 year old is having a problem figuring this problem out , I'm not sure either. Can someone help is figure this out. Thanks

Answer 1

7x+7=14/3

 

combine like terms. 7 and 14/3 are both numbers so they are like terms.

 

7x=14/3 - 7

 

To subtract fractions they need to have the same denominator. Both numbers need to have 3 on the bottom of the fraction.

 

7=21/3

 

So,

 

7x=14/3 - 21/3

 

7x= -7/3

 

divide both sides by 7

 

x= (-7/3)/7

 

x= -7/21

 

Reduces to

 

x= -1/3

Answer 2

1)  is that supposed to be a fraction of 14/3 (fourteen thirds) or the equation 14÷3?  (by the way, you can make the ÷ by holding the alt key and typing 0247).

 

2) I'm assuming the "y" i the description is a typo for "my 12 year old daughter"......  unless the y is part of the equation, in which case the answer will be very different.

 

Assuming the y is NOT part of the equation, it would go like this:

 

7x+7=14/3

 

then get rid of the 7 by itself on each side by subtracting it from each side

 

7X+7-7=14/3-7

7x=14/3-7

 

then make x by itself by dividing both sides by 7

 

(7x)/7=(14/3-7)/7

x=(14/3-7)/7

Assuming that it's a fraction you will need to turn the two 7's into fractions of thirds as well.

x=((14/3)-(21/3))/(21/3)

x=(-7/3)/(21/3)

Then to divide fractions, turn the second fraction upside down and multiply instead

x=(-7/3)x(3/21)

x=-21/63

and simplify

x=-1/3

 

If the "y" is part of the equation, there will be a very different answer, so I'll wait to see if that's part of it or just a typo.

Answer 3

Hi you were given 7x+7=14/3 If you convert 7 to thirds you get 21/3 if you now re write the equation you get

 

7x+21/3=14/3 if you now subtract 21/3 from both sides you have 7x+(21/3)-(21/3)=(14/3)-(21/3) which is

 

7x=-7/3 so x=-1/3. I've included more steps than usual if this confuses you let me know.

 

Another way to do the same problem is to convert 14/3 to a decimal (4.667 rounded to 3 decimal places)

 

then the equation becomes 7x+7=4.667 and proceed as above. Yet another way is to factor a 7 out of both sides giving 7(x+1)=14(1/3) so x+1=2/3 giving again x=-1/3

Hope this helps

Jim