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!

- anonymous

- schrodinger

See more answers at brainly.com

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- inkyvoyd

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.

- anonymous

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

- inkyvoyd

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

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- inkyvoyd

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

- anonymous

we learned system of equations last year

- inkyvoyd

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.

- anonymous

okay so ill use x and y thankss

- inkyvoyd

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.

- inkyvoyd

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

- anonymous

3x+4?

- inkyvoyd

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

- anonymous

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

- anonymous

ohh wait what?

- inkyvoyd

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

- inkyvoyd

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

- anonymous

ok i got that but then whats the second?

- inkyvoyd

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

- inkyvoyd

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

- inkyvoyd

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

- anonymous

2x-3y=32

- inkyvoyd

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

- anonymous

substitution

- inkyvoyd

yup.

- anonymous

i got 10.6 repeting

- inkyvoyd

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

- anonymous

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

- inkyvoyd

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

- inkyvoyd

y=3

- anonymous

so x is 13:)

- inkyvoyd

No, check again :)

- anonymous

3(3)+4=x
13=x

- anonymous

oh i get itt

- anonymous

thankss sooo muchh

- inkyvoyd

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

- inkyvoyd

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

- anonymous

TANK YOU

- inkyvoyd

No problem :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.