Question

how can I solve for x in terms of other variables? Example included:
p-6/7x=2q

Answer 1

so to solve this, I want to get rid of any fractions, because fractions are evil. so i would multiply both sides by 7x. Next i would want to get x on its own. so i would divide both sides by (2 x 7 x q)

Answer 2

I don't quite understand

Answer 3

okay multiply both sides of your equation by 7x and type what you get

Answer 4

oh I made a typo... the fraction in the equation is -6/7

Answer 5

Would that mean I also multiply by -7, right?

Answer 6

\[\frac{-6}{7x} = 2q\] ?

Answer 7

is that the equation

Answer 8

no, the equation is p-6/7x=2q

Answer 9

\[\frac{p-6}{7x} = 2q\] ?

Answer 10

\[p - \frac{6}{7x} = 2q\] ?

Answer 11

use brackets in your equation

Answer 12

\[p-\frac{ -6 }{ 7x }=2q\]

Answer 13

so that last one with brackets would be p -(6/7x) = 2q

Answer 14

p minus minus 6, or p minus 6?

Answer 15

first one?

Answer 16

yeah p- negative six over seven and the x is in the middle of the equation next to the line between the 6 and 7

Answer 17

cool awesome

Answer 18

okay so - - 6 = + 6 right?

Answer 19

opps....forget the p minues negative six its just p minus 6

Answer 20

so....p minues negative 6 over 7x equals 2q

Answer 21

right okay so firstly you want to minus both sides by p. type what you get

Answer 22

i would get -6/7x=2q-p

Answer 23

yeah you would, now multiply both sides by 7x, write the right hand side as 7x(2q-p)

Answer 24

which gives you -6 = 7x(2q - p) right?

Answer 25

yes

Answer 26

cool, now divide both sides by 7(2q - p)

Answer 27

wait...now i use distributive property...right?

Answer 28

no keep it inn the brackets its easier

Answer 29

but, them I would divide -6 by 7(2q-p)

Answer 30

yeah exactly

Answer 31

and you would have x on its own in terms of the variables q and p

Answer 32

I don't quite get how I would actually divide it by that.

Answer 33

you dont, you just leave it in that form \[\frac{-6}{7(2q-p)} = x\]

Answer 34

oh....Can you help me in the other ones? I thought i'd get the hang of it with one

Answer 35

sure post anotehr here

Answer 36

another*

Answer 37

alright....\[\frac{ 2 }{ 3 }ab-\frac{ 1 }{ 5 }x=2\]

Answer 38

ugh thats an ugly oen, but suprisingly easy

Answer 39

so first step is to try and get as little stuff on the side of x as possible. is there anything you do to get that?

Answer 40

I multiply by 5?

Answer 41

i would \[-\frac{2}{3}ab\] first.

Answer 42

but multiplying everything by 5 will also work, take your pick

Answer 43

so multiply by -3?

Answer 44

oh alright
I'll multiply by 5

Answer 45

okay type what you get

Answer 46

I get \[\frac{ 10 }{ 6 }ab-1x=10\]

Answer 47

awesome, any idea how you can get just -1x on the left side?

Answer 48

in one move :)

Answer 49

add x so then you would have \[\frac{ 10 }{ 6 }ab =10+x\]

Answer 50

yes that will be just fine. now what can you do to get x on its own

Answer 51

then....multiply each side by 6 so then I would get: \[10ab=1000+x\]

Answer 52

wait

Answer 53

well...to get x on its own, i would have to subtract 10

Answer 54

sorry, got ahead of myself

Answer 55

yes exactly! and what would that give you

Answer 56

if you subtracted 10

Answer 57

i would get....hmmm how do I deal with the equation?

Answer 58

what do you mean? i think from here:

\[\frac{ 10 }{ 6 }ab =10+x\] by subtracting 10:

\[\frac{ 10 }{ 6 }ab - 10= x\]

Answer 59

agree?

Answer 60

oh! ok

Answer 61

:)

Answer 62

I would appreciate trying two more but let me do at least one on my own

Answer 63

well just try and if you get stuck message me

Answer 64

\[\frac{ 5 }{ 2 }(h-x)=\frac{ k }{ 4 }\]

Answer 65

I would multiply by 2 each side

Answer 66

thats a good idea

Answer 67

so then i get....\[5(2h-2x)=\frac{ 2k }{ 8 }\]

Answer 68

yeah. now get rid of that 5 to free the x from the bracket

Answer 69

that would create.....\[2h-2x=\frac{ 2k }{ 8 }-5\]

Answer 70

okay now what do you think you should do? remember your trying to get as little stuff on the side of x as possible

Answer 71

I would subtract 2h which would create....\[-2x=\frac{ 2k }{ 8 }-5-2h\]

Answer 72

yeah! now what do you think?

Answer 73

x doesn't need to be divided, right? that would be the answer?

Answer 74

well, we want to get rid of the 2 next to x, forget about the - sign for now

Answer 75

well dividing by -2 would fix it

Answer 76

sure it would. so divide everything by -2 and you have done it

Answer 77

your good at these

Answer 78

well probably not as fluent as you since i just learned it

Answer 79

it just becomes second nature when you start learning about other things. you will start taking it for granted.

Answer 80

well...I've got other homework to do. Thanks.