## xokatexo 3 years ago 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!

1. 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.

2. xokatexo

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

3. inkyvoyd

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

4. inkyvoyd

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

5. xokatexo

we learned system of equations last year

6. 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.

7. xokatexo

okay so ill use x and y thankss

8. 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.

9. inkyvoyd

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

10. xokatexo

3x+4?

11. inkyvoyd

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

12. xokatexo

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

13. xokatexo

ohh wait what?

14. inkyvoyd

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

15. inkyvoyd

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

16. xokatexo

ok i got that but then whats the second?

17. 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

18. inkyvoyd

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

19. inkyvoyd

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

20. xokatexo

2x-3y=32

21. inkyvoyd

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

22. xokatexo

substitution

23. inkyvoyd

yup.

24. xokatexo

i got 10.6 repeting

25. inkyvoyd

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

26. xokatexo

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

27. inkyvoyd

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

28. inkyvoyd

y=3

29. xokatexo

so x is 13:)

30. inkyvoyd

No, check again :)

31. xokatexo

3(3)+4=x 13=x

32. xokatexo

oh i get itt

33. xokatexo

thankss sooo muchh

34. inkyvoyd

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

35. inkyvoyd
36. xokatexo

TANK YOU

37. inkyvoyd

No problem :)