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x-3xy = 1. I have to solve for y

well for `opposite of distribution` you have to take out the common factor
like aB+aC= a(b+c)

well what is common in these two terms x-3xy ??

btw there is one with x
1x-3xy

yes right but 3y is negative
so \[\huge\rm x(1-3y)=1\]
now move the x to the right side

1-3y=1/x

perfect

what would be the next step ?

-3y=1/x -1

|dw:1441832388127:dw|

yes right so both terms are dividing by -3 so you can write it as |dw:1441832500945:dw|

so \[\frac{ \frac{ 1 }{ x } }{ -3 } = ?\]

0_0

o^_^o
multiply the top with the `reciprocal` of the bottom

|dw:1441832579715:dw|

|dw:1441832707298:dw|

5 how did u get 5 ?

what is the reciprocal of `-3/1` > ?

the reciprocal of -3/1 is 1/-3

So, now I got the equation for y and I need to plug in X for what y =s

yes right substitute x for -5

|dw:1441833342964:dw|

\[\huge\rm y=\frac{ 1 -}{ x } \times \frac{ 1 }{ -3 }-\frac{ 1 }{ -3 }\] first simplify this

|dw:1441833454633:dw|

hmm no

just multiply the numerator by numerator and the denominator by denominator

no not cross multiplication

ok|dw:1441833634950:dw|

|dw:1441833735641:dw|

|dw:1441833868729:dw|

so y = 4/15?

no

what part was wrong in my solving?

|dw:1441834075300:dw|

|dw:1441834145872:dw|
negative divide by negative = positive

I got -1/15

that was your mistake ^^^^ negative divide by negative = posistive

|dw:1441834239060:dw|
negative should cancels out

what positive number is the -1 being multiplied by?

-1*

negative* ^^

|dw:1441834466580:dw|

lO_Oks good! great job!

thank you. good bye

good bye