I need help solving a couple of Beginning Algebra equations. -1/3 = x - 3/5

- anonymous

I need help solving a couple of Beginning Algebra equations. -1/3 = x - 3/5

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- katieb

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- LollyLau

you wanna get rid of any fractions by multiplying all the terms by their denominators.
so the whole equation becomes:
-5=15x-9.
-15x=-4
15x=4
x=4/15

- anonymous

So -1/3 . - 3/5 = 3/15 The fractions is what gets me. But thank you.

- anonymous

this is so you can cancel the -3 / 5

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## More answers

- anonymous

Ok so you multipy on both sides the -1/3

- anonymous

multiply it with a - 5/ 3

- anonymous

you have
-1/3 = x - 3/5
it would be better to multiply it in 1 go and simplify

- anonymous

multiply with reciprocal of -3/5
it would be easier
you could do -1/3 reciprocal
but it would be more work

- anonymous

So either side is ok? I didn't know that. Thank you!

- anonymous

yup

- anonymous

:)

- anonymous

any other questions?

- anonymous

Yes I have another equation 3x = 2x + 7

- anonymous

since if you multiply
for example a equation
by -1
you have to do so to both sides
you know that right?

- anonymous

No Im so lost right now.

- anonymous

o okies
you know what this
sign
=
means right?

- anonymous

equals yes lol

- anonymous

it means is equal to

- anonymous

the equation
3x=2x+7
it reads
3x
is equal to
2x
plus
7

- anonymous

so do you kinda understand what this is know

- anonymous

now*

- anonymous

how it works

- anonymous

Yes I know we have to combine like terms but when I did it I came up with the wrong answer

- anonymous

I came up with 1x

- anonymous

not like terms
but
equal amounts
just think of it like this
you got a 2 ml cups of water A and B
they are supposed to be equal
if you add 4 pints to cup A
Will they still be equal?
How will you make them equal?
Add 4 pints to cup B right?
what is the symbol of adding?
its a plus sign + 4 pints

- anonymous

yes

- anonymous

is it more understandable?

- anonymous

a little so do i add the 2x to 3x or am I still off base?

- anonymous

2x = 3x + 7
what would be the easiest method
try to make it simpler for you self
yes , correct
make the like terms dissapear

- anonymous

I did it like this:
3x = 2x + 7
-2x -2x

- anonymous

I know the answer is 7 from looking in the back of the book just can't figure out how to get the answer to 7

- anonymous

additive inverse of 2x
is negative 2x
do this on both sides

- anonymous

yes I did that

- anonymous

x cannot be negative

- anonymous

how would you get a positive x?

- anonymous

I"m not sure but I think the +3x -2x should egual a positive but that is 5x

- anonymous

umm
you sure the problem was
2x = 3x + 7

- anonymous

not - 7

- anonymous

no the problem is 3x =2x + 7

- anonymous

answer is 7 but don't see how to get that answer.

- anonymous

okies here is what i get
3x = 2x +7
(-2 x) 3x = 2x + 7 + (-2x) additive inverse of 2x

- anonymous

can you figure the rest :)

- anonymous

yes thank you

- anonymous

anything else?

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