Question

Consider the equation 4 plus v equals 8 minus StartFraction 5 Over 3 EndFraction v.v + 4 + StartFraction 5 Over 3 EndFraction v plus 4 equals 8 minus StartFraction 1 Over 3 EndFraction v. v = 8. What is the resulting equation after the first step in the solution?

v +4 = 8 – v
StartFraction 4 Over 3 EndFraction v plus 4 equals 8.v +4 = 8
4 + v = 8 – 4 plus v equals 8 minus StartFraction 5 Over 3 EndFraction v.v
2v + 4 = 8

Answer 1

You have to simplify it

Do you know how to subtract fractions?

\(\frac{a}{c} - \frac{b}{c} = \frac{a-b}{c}\)

Answer 2

Oh wait it's addition, similar concept but you just add the numerators
ONLY IF the denominator is the same

Answer 3

And in this case when you add it, you can simplify the fraction too

Answer 4

would it be 5/3v+4=8- 1/3v

Answer 5

So that is us moving it to the other side, but we don't want to do that

Why?

Because we want to keep the stuff with the variable on one side and to add them together so that way we can get that letter (aka variable) all by itself

Answer 6

What is \(\frac{5}{3}v + \frac{1}{3}v = ?\)

Answer 7

it should be v=2

Answer 8

are you sure about that?

how'd you get that

Answer 9

i added the 5/3v and the 1/3v

Answer 10

or is it 2v

Answer 11

mhmm and then you went to v=2

Answer 12

Yes it has to be 2v

Answer 13

Imagine v is just like a cake

You have 5/3 of a cake and you get another 1/3 piece of cake

Now you have a full 6/3 or 2 cakes

So just like that (5/3)v + (1/3)v = (6/3)v = 2v

Answer 14

So now that you got 2v, you should be able to get your answer :)

Answer 15

2v + 4 = 8

Answer 16

That's your answer!

Answer 17

i couldnt have done any of this without you

Answer 18

thanks

Answer 19

Of course!! :)