Question

One number is 4 more than three times a smaller number. If twice the larger number is decreaased by three times the smaller number, the result is 32. Find the number. I know the answer but i need help solving it because i have a test tomorrow thanks!

Answer 1

Okay. One number is 4 more than 3 times a smaller number. Sounds like we have two numbers. So let's set
x=larger number
y=smaller number.

Answer 2

i did x= the smaller
2x+4= the larger

Answer 3

Okay. Then x is the smaller, and 2x+4 is the larger.

Answer 4

Are you learning systems of equations? or just one variable?

Answer 5

we learned system of equations last year

Answer 6

Okay. I'll straight up tell you that while it might be possible to solve this with just x as a variable, it will be much less confusing to do with x and y.

Answer 7

okay so ill use x and y thankss

Answer 8

Alright. Now really the only reason I set x as the larger number is because it turned up first. y as the smaller number cause it turned up second.

Answer 9

We are looking for two equations that relate x and y. can you figure out the first?

Answer 10

3x+4?

Answer 11

mm. Close, but remember that x is the larger number. You should be getting
3y+4=x

Answer 12

wait no 2(3x+4)-3x=32

Answer 13

ohh wait what?

Answer 14

One number is 4 more than three times a smaller number.

Answer 15

We have a number x that is 4 more than 3 times a smaller number.

Answer 16

ok i got that but then whats the second?

Answer 17

and the smaller number is y.
so we have
x is 4 more than 3 times y.
or, x=4+3y
in other words
3y+4=x

Answer 18

If twice the larger number is decreaased by three times the smaller number, the result is 32.

Answer 19

Replace the larger number and smaller number to what we have set them to, x and y ;)
Tell me what you get...

Answer 20

2x-3y=32

Answer 21

Yes. Good!
Now we set up the system.
3y+4=x
2x-3y=32

Answer 22

substitution

Answer 23

yup.

Answer 24

i got 10.6 repeting

Answer 25

Can you show your work? that's not the right answer :S

Answer 26

@inkyvoyd
2(3y+4)-3y=32
6y+8-3y=32
3y+8=32
-8 -8
--------------
3y=32
--- ---
3 3
y=10.66666666666666666666666666

Answer 27

3y+8=32
catch: 3y+8=24

Answer 28

y=3

Answer 29

so x is 13:)

Answer 30

No, check again :)

Answer 31

3(3)+4=x
13=x

Answer 32

oh i get itt

Answer 33

thankss sooo muchh

Answer 34

yeah sorry, I made a mistake to. y=8 lol

Answer 35

http://www.wolframalpha.com/input/?i=3y%2B4%3Dx+and+2x-3y%3D32

Answer 36

TANK YOU

Answer 37

No problem :)