## anonymous 4 years ago i need help solve each equation. check your solution y-6/y=5 5/3p+2/3=5+p/2p

1. anonymous

rational equation

|dw:1328670179691:dw| Is that the first one?

3. anonymous

yess

4. anonymous

i really dont understand how to do this

O.K Multiply thru by y getting y-6 = 5y 5y-y=-6 4y=-6 y=-6/4 = -3/2 = -1 1/2

Did you follow that with understanding?

7. anonymous

imm sorry u wrote the equation wrong

8. anonymous

|dw:1330225757998:dw|

OH I see. Now multiply the equation thru by y getting $y ^{2}-6=5y$With me so far?

10. anonymous

nopee

You are going to multiply all terms by y in order to eliminate the denominator. $y \times y=y ^{2}$ Did you follow on the first term?

12. anonymous

mhmmm

|dw:1328670943075:dw|

Do you see how the second term becomes a -6?

15. anonymous

no how

and finally 5*y= 5y Do you know how to multiply? What grade are you in?

17. anonymous

18. anonymous

ohhh i get it nowww

|dw:1328671370618:dw|

20. anonymous

soo wats the next step

|dw:1328671430551:dw| What part of this multiplication you do not understand?

22. anonymous

nooooo i understandd

23. anonymous

whats the next step

So we are now back to $y ^{2}-6=5y$ Subtracting 5y from both sides we get$y ^{2}-5y-6=5y-5y=0$This is a quadratic equation that can be factored and easily solved.$y ^{2}-5y-6=0$ (y-6)(y+1)=0 y=6 y=-1 those are the two answers. Your problem say to check your work

25. anonymous

okm theres the next onee

26. anonymous

so would you multiply 3

27. anonymous

|dw:1330227284130:dw|

Checking y -6/y=5 6 -6/6=5 6-1=5 5=5 that checks. -1-6/-1=5 -1+6=5 5=5 that checks too.

29. anonymous

yesss so for the next problem would you multiply by 3p?

Let me look that over

First lets put all terms containing p on the left. 5/(3p)-(5+p)/(2p)=-2/3 This was done by subtracting 2/3 from both sides.

32. anonymous

ok

|dw:1328672483382:dw|

Multiply all terms by 6p eliminate the denominator$10-15-3p =-4p$Please double check my work here as I go and let the dogs in.

35. anonymous

where did 15 come from?

36. anonymous

its -8 not -4

The 15 came from multiplying (6p/2p)-(5+p)|dw:1328673206774:dw|

38. anonymous

ohhh ok

what is -8 ?? Multiply (-2/3)(6p)=-4p

40. anonymous

ohh ok

Let us continue: combining similar terms we now have: -5 - 3p =-4p adding 5 and adding 4p to both sides gives us p=5 that is the answer that we must check out. You feel up to it?

42. anonymous

yesss

5/(3*5) + 2/3 = (5+5)/2*5 5/15 +2/3 = 10/10 1/3 +2/3 = 1 1=1 5 is the correct answer.

Agree?

46. anonymous

ohh ok next problem

Post the problem in the ask a question side.

48. anonymous

|dw:1330229287420:dw|

That way it gets more exposure and that is the preferred policy of open study.

50. anonymous

yess agreed

I believe I can answer that one, but post it on the ask a question and I will meet you there.

52. anonymous

ok thnk u