Question

When solving for the y-intercept, what do i do when the equation has fractions in it? For example:
Q:8=12/11*5+b
Do i get them so i can divide them by the same thing?(the fractions)

Answer 1

Or should i divide both sides by 12/11?

Answer 2

\[8=\frac{12}{11}*5+b\] Is this what you have?

Answer 3

Yeah

Answer 4

Okay times both sides of the equation by 11 to get rid of the fraction

Answer 5

What? like 11*12/11*11?

Answer 6

b=28/11

Answer 7

Dude! Don't just GIVE me the answer! i wanted to learn how to do this!

Answer 8

Ok new example.

Answer 9

\[8*11=\frac{12*11}{11}*5+11*b\] like this, see the 11 in the denominator will cancel

Answer 10

oh!sorry!shall i post the solution and explain it to u?

Answer 11

King, ill get a new example and ill try it :) Its ok.

Answer 12

The denominator is the bottom one, right?

Answer 13

yes

Answer 14

Ok, so it becomes just 11*12?

Answer 15

sorry once again!

Answer 16

No, thats ok :D

Answer 17

yes 11*12*5 don't forget the 5

Answer 18

Ok so now its 8*11*12*5+11b?

Answer 19

yup inopeki thats rite!

Answer 20

no there is no 8!8 is on the LHS

Answer 21

Wait, isnt it 8*11=11*12*5+11b

Answer 22

correct inopeki

Answer 23

LHS?

Answer 24

left hand side of the equation

Answer 25

Ah

Answer 26

ure 2nd equation is rite.

Answer 27

Now divide both sides by 11?

Answer 28

getting 8=12*5+b?

Answer 29

yup !

Answer 30

Multiply 12 by 5 getting 60 so now we have 8=60+b

Answer 31

hold on you will have 8*11=12*5+11*b

Answer 32

now subtract both sides by 60

Answer 33

Take both sides minus 60 and we have the answer! -52=b?

Answer 34

Whaaat?

Answer 35

oh !!!!!!!!answer is b=-52!sry!

Answer 36

Its ok, but your answer was right too, according to khanacademy :)

Answer 37

Ill try another one

Answer 38

5=-5/6*-9+b

Answer 39

u solve it!

Answer 40

and tell me ure answer i will tell if it matches with my answer!

Answer 41

Multiply both sides of the fraction by -5 getting 5=-5*5/5*6*-9+b The 5s cancel out getting us to 5=-5*5/6*-9+b, simplify: 5=-25/6*-9+b. Am i right so far?

Answer 42

hmm.i dont get t i can tell u sumthin else to do but
multiply by 5 on both sides of the equation

Answer 43

Oh right!

Answer 44

then u will get?

Answer 45

5=-5*5/5*6*-9*5+5b?

Answer 46

even the 5on the left hand side should be multiplied by 5 so it will bcome 25....

Answer 47

Oh right, 5*5=-5*5/5*6*-9*5+5b?

Answer 48

yup so now cancel 5's...............

Answer 49

Is the equation you're doing \[5=\frac{-5}{6}*-9+b\]?

Answer 50

yup i think so !

Answer 51

The whole fraction is negative, but yeah

Answer 52

why did you times both side by 5, it should be 6 if you want to get rid of the fraction

Answer 53

Oh right

Answer 54

5*6=-5*6/6*6*-9*6+6b?

Answer 55

is the fraction times by -9 or just minus 9?

Answer 56

u shouldnt multiply -9 by 6

Answer 57

Simplified: 30=-30/36*-9+6b

Answer 58

so yes king is right, typo

Answer 59

Yeah its -9 multiplied by the fraction, so we dont multiply it?

Answer 60

yes don't times it

Answer 61

sorry guys i just can't type well tonight :)

Answer 62

-9 is include in the fraction -5/6

Answer 63

so inopeki what do you have for your equation?

Answer 64

30=-30/36*-9+6b

Answer 65

close, remember we times the fraction by 6 to get rid of it. so we have 30=-5*-9+6b

Answer 66

How did you get -5?

Answer 67

OOOH

Answer 68

bacause the fraction was 5*6/6*6? The sixes cancel out!

Answer 69

yes but you don't need to times the denominator by 6 as well. only time each term once!

Answer 70

Oh right

Answer 71

So it was -5*6/6

Answer 72

cause the fraction is one term

Answer 73

exactly

Answer 74

and -5*6/6=-5

Answer 75

perfect now put this into the equation and you get 30=-5*-9+6b which has no fraction in it at all :)

Answer 76

30=-5*-9+6b Simplified: 30=45+6b

Answer 77

whts ure answer inopeki?

Answer 78

both sides minus 45=6b

Answer 79

so -15=6b

Answer 80

So -15/6?

Answer 81

perfect!!!!!

Answer 82

YES!

Answer 83

That was wrong :(

Answer 84

How do i simplify it?

Answer 85

\[\frac{-15}{6}=\frac{-15/3}{6/3}=\frac{-5}{2}\]