anonymous
  • anonymous
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!
Mathematics
schrodinger
  • schrodinger
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inkyvoyd
  • 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
  • anonymous
i did x= the smaller 2x+4= the larger
inkyvoyd
  • inkyvoyd
Okay. Then x is the smaller, and 2x+4 is the larger.

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inkyvoyd
  • inkyvoyd
Are you learning systems of equations? or just one variable?
anonymous
  • anonymous
we learned system of equations last year
inkyvoyd
  • 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
  • anonymous
okay so ill use x and y thankss
inkyvoyd
  • 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
  • inkyvoyd
We are looking for two equations that relate x and y. can you figure out the first?
anonymous
  • anonymous
3x+4?
inkyvoyd
  • inkyvoyd
mm. Close, but remember that x is the larger number. You should be getting 3y+4=x
anonymous
  • anonymous
wait no 2(3x+4)-3x=32
anonymous
  • anonymous
ohh wait what?
inkyvoyd
  • inkyvoyd
One number is 4 more than three times a smaller number.
inkyvoyd
  • inkyvoyd
We have a number x that is 4 more than 3 times a smaller number.
anonymous
  • anonymous
ok i got that but then whats the second?
inkyvoyd
  • 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
  • inkyvoyd
If twice the larger number is decreaased by three times the smaller number, the result is 32.
inkyvoyd
  • inkyvoyd
Replace the larger number and smaller number to what we have set them to, x and y ;) Tell me what you get...
anonymous
  • anonymous
2x-3y=32
inkyvoyd
  • inkyvoyd
Yes. Good! Now we set up the system. 3y+4=x 2x-3y=32
anonymous
  • anonymous
substitution
inkyvoyd
  • inkyvoyd
yup.
anonymous
  • anonymous
i got 10.6 repeting
inkyvoyd
  • inkyvoyd
Can you show your work? that's not the right answer :S
anonymous
  • anonymous
@inkyvoyd 2(3y+4)-3y=32 6y+8-3y=32 3y+8=32 -8 -8 -------------- 3y=32 --- --- 3 3 y=10.66666666666666666666666666
inkyvoyd
  • inkyvoyd
3y+8=32 catch: 3y+8=24
inkyvoyd
  • inkyvoyd
y=3
anonymous
  • anonymous
so x is 13:)
inkyvoyd
  • inkyvoyd
No, check again :)
anonymous
  • anonymous
3(3)+4=x 13=x
anonymous
  • anonymous
oh i get itt
anonymous
  • anonymous
thankss sooo muchh
inkyvoyd
  • inkyvoyd
yeah sorry, I made a mistake to. y=8 lol
inkyvoyd
  • inkyvoyd
http://www.wolframalpha.com/input/?i=3y%2B4%3Dx+and+2x-3y%3D32
anonymous
  • anonymous
TANK YOU
inkyvoyd
  • inkyvoyd
No problem :)

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