Question

Solve the equation. Check the solution. -2/x+4 = 4/x+3

Answer 1

please help me do this problem

Answer 2

well first subtract 3 from both sides

Answer 3

so -2/x+1 = 4/x?

Answer 4

now add 2/x on both sides

Answer 5

4 = 6/x+3?

Answer 6

hold on is your original equation this \[\frac{ 4 }{x+3 }\]

Answer 7

or is it the way you have it?

Answer 8

it's the way I had it

Answer 9

ok

Answer 10

ok

Answer 11

any way how did you get 4=6/x+3

Answer 12

wasn't I supposed to add 2/x on both sides?

Answer 13

yes but what is -2/x+2/x

Answer 14

where did that come from?

Answer 15

ok so let's go back we had \[\frac{ -2 }{ x }+1=\frac{ 4 }{ x }\] if we add 2/x to both sides it looks like this\[\frac{ -2 }{ x }+1+\frac{ 2 }{ x }=\frac{ 4 }{ x }+\frac{ 2 }{ x }\]

Answer 16

now combine like terms

Answer 17

actually the problem is different, let me make the equation

Answer 18

\[-2/x+4 = 4/x+3\]

Answer 19

is it \[\frac{ -2 }{ x+4 }=\frac{ 4 }{ x+3 }\]

Answer 20

yes, I'm not sure how to exactly make it like that though lol

Answer 21

just to make it more clear next time just put everything that is in the bottom portion of the fraction in parentheses like this -2/(x+4)

Answer 22

but any back to the problem. Now you want to cross multiply

Answer 23

ok

Answer 24

let me know what you got after cross multiplying

Answer 25

(-2x+3)/4x+4?

Answer 26

that's close but you forgot to multiply 4*4 on the right side and 3*3 on the left side also they should equal each other not be in a fraction. \[3(x+3)=4(x+4)\]

Answer 27

oh ok

Answer 28

now distribute the 3 on the left side and the 4 on the right

Answer 29

would we subtract 3 from both sides first?

Answer 30

no just distribute each side first

Answer 31

Do you remember the distributive property

Answer 32

no, how was it again?

Answer 33

a(b+c)=a*b+a*c

Answer 34

ok

Answer 35

3*x+3*3 = 4*x+4*4?

Answer 36

ok just simplify that. What is 3*3 and what is 4*4

Answer 37

9 and 16

Answer 38

3*x+9 = 4*x+16

Answer 39

now subtract 3x from both sides

Answer 40

9 = x+16

Answer 41

what do you think comes next

Answer 42

7?

Answer 43

but it doesn't match the original equation

Answer 44

how did you get that ?

Answer 45

oh wait -7

Answer 46

ok

Answer 47

what do you mean it doesn't match the original equation

Answer 48

if you substitute -7 for x, it won't equal the same amount for both sides

Answer 49

do you know why?

Answer 50

oh because earlier i accidentally wrote in 3(x+3) instead of -2(x+3)

Answer 51

so just solve for -2(x+3)=4(x+4)

Answer 52

distributive property?

Answer 53

yes

Answer 54

ok

Answer 55

-2*x+-2*3 = 4*x+4*4?

Answer 56

keep going

Answer 57

ok

Answer 58

add 2x to both sides?

Answer 59

ok

Answer 60

oh wait, simplify

Answer 61

yea simplify

Answer 62

-2x -6 = 4x+16

Answer 63

then -6 = 6x+16?

Answer 64

ok

Answer 65

then add 6 to both sides?

Answer 66

or subtract -16 from both sides?

Answer 67

-22=6x?

Answer 68

good

Answer 69

so -11/3

Answer 70

yes and that is definitely correct because I checked

Answer 71

ok, thank you...I'll give you best response =)

Answer 72

LMAO you better I'm the only responder

Answer 73

lol, could you help me with one last word problem?

Answer 74

ok but we're gonna do this one faster because an hour was way too long for the last problem

Answer 75

yeah it should be much quicker

Answer 76

The speed of the current in a river is 6 mph. A ferry operator who works that part of the river is looking to buy a new boat for his business. Every day, his route takes him 22.5 miles each way against the current and back to his dock, and he needs to make this trip in a total of 9 hours. He has a boat in mind, but he can only test it on a lake where there is no current. How fast must the boat go on the lake in order for it to serve the ferry operator’s needs?

Answer 77

What is this a physics problem?

Answer 78

algebra 2

Answer 79

dude I'm not to sure about this one sorry.

Answer 80

oh, that's how I felt when I read it =/

Answer 81

Good Luck

Answer 82

thanks, I'll try to open a question with it and have a great day :)

Answer 83

you 2