Question

Seven less than 5 times a number is 62. What is the number?
I will medal and fan if you help me!

Answer 1

what's 7+62?

Answer 2

69

Answer 3

now divide that by 5

Answer 4

5 X 14 = 70
70 - 7 = 63

Answer 5

ITS NOT 62 BUT THATS WAT I GOT

Answer 6

Okay. Thank you @tygrr321 I am going to ask someone else their opinion but are more than welcome to stay and see what they got.
@Ghostgate

Answer 7

OK? THX

Answer 8

Seven less than 5 times a number is 62. What is the number?
7 – 5n = 62 (line 1)

7 – 7 – 5n = 62 – 7 (line 2)

–5n = 55 (line 3)

–5n ÷ 5 = 55 ÷ 5 (line 4)

n = –11 (line 5)

Answer 9

Okay, as far as this goes:
First you have to translate the question that's being asked, which you did.
However, having the equation:
7 - 5n = 62
You're next step(line 2) is wrong, do you know why?

Answer 10

the way to understand these problems is do a few of them

But to help get the idea, try using numbers.

For example,
do you know
what is 7 less than 8 ?

Answer 11

I don't know what you were doing tygrr321, but you're answer is completely off. Just to point that out there.

Answer 12

No, I don't know why my second line is incorrect.
- or subtract.

Answer 13

How about
1 less than 2 ?

Answer 14

2-1
or
Subtract 1 from 2

Answer 15

yes, that is what the English means
it also works for
7 less than 8:
you do 8-7

Answer 16

now let's look at
5 times a number

call the number "x"
how do you write
5 times x ?

Answer 17

5*x

Answer 18

i know that ghost gate
wats wrong?

Answer 19

yes, but when it's a number times a letter we don't bother to show the multiply
so just 5x

Answer 20

u dont have to rub that in

Answer 21

in other words, 5x is how we write 5 times x in algebra

Answer 22

Ok. Next step please.

Answer 23

now we do
Seven less than 5 times a number
which is
7 less than 5x

we do the same as 7 less than 8 but we use 5x instead of 8

Answer 24

Ok. Next step.

Answer 25

how do we write
7 less than 5x ?

Answer 26

7-5x
Which would equal 2x, right?

Answer 27

@tygrr321 Sorry if I rubbed it in too much.
Okay, acquiring 7 - 5n = 62, you do something to both sides, however it goes with what I consider the "Do the "opposite" to both sides" system or the "Opposite" system for short, in other words, you do something to both sides that is opposite to what is already going on. If you get what I mean.

Answer 28

you did it backwards

it's not totally obvious, so you have to use the same pattern as
1 less than 2 becomes 2-1
or
7 less than 8 becomes 8-7

Answer 29

@Ghostgate I get what you mean. In this case we do the opposite of it says.
@phi I do not know what you mean.

Answer 30

I mean
7 less than 5x
is not
7-5x

Answer 31

@phi Ok. Then what is it?

Answer 32

Okay in corresponding to what phi mentioned, he is stating that when you come out with "7 - 5x" it wouldn't become "2x", this goes over to the correlation of "7" and "5x" aren't like terms and therefore wouldn't subtract into one another, which is why you do the "opposite" system in order to get "x" by itself.

Answer 33

You almost have the idea. You know how do do
1 less than 2. it turns into 2 - 1 (notice the 1 is subtracted)
7 less than 5x turns into what?

Answer 34

5x-7?
That is just a guess I am really not sure.

Answer 35

yes, that is what it means

If it does not make sense, play with numbers
like 2 less than 3,
then when you get the idea, use letters

anyway
so far you have
5x-7 is 62

Answer 36

is becomes an = sign
so you now have
5x-7 = 62

the next part is to "solve for x"
the first step is add +7 to both sides
can you do that ?

Answer 37

Okay here's a way of depicting it:
"7" = 7
"less than" = subtraction, so "7 -"
"5" = 5
"times a..." = multiplication so: "7 - 5*(?)"
"number" = x so: "7 - 5x"
"is" = "=" so: "7 - 5x ="
"62" = "62" so: "7 - 5x = 62".
Do you get that?

Answer 38

@phi yes. It would be 5x-7+7= 5 = 62+7= 69?

Answer 39

Now as I was stating earlier and what phi hinted towards, we now do something to both sides of the equation to get "x" by itself, which is to do the "opposite" to both sides, and as he stated, the opposite of subtraction is addition, so therefore you add 7 to both sides, giving you:
7 + 7 - 5x = 62 + 7
What do you come out with?

Answer 40

yes except on the left side
5x-7+7 is 5x+0 (you can't ignore the x, it's really there)
but 0 adding to anything does not change it.
in other words 5x+0 is 5x
and you have
5x= 69

last step, is divide both sides by 5

Answer 41

\[ \frac{5}{5}x = \frac{69}{5} \]
it looks like we get an ugly number.

Answer 42

So, now that you have:
5x/5 = 69/5
What does that come down to?

Answer 43

5/5 is 1
and 1*x is x
so the left side is x
I assume you can divide 69 by 5

Answer 44

13.8

Answer 45

yes, x = 13.8
a bit ugly, but 7 less than 5*13.8 should work out to be 62

Answer 46

13.8 or 13 4/5ths, correct.
So: x = 13.8 or 13 4/5ths.
Now, does this make sense? Or is something still puzzling?

Answer 47

I get it now. Thank you both. I might need help a little bit later but I now know who can help me with this.

Answer 48

Alright I'm glad I could help you here! Have a great day! ;)
{---Ghostgate---}