Question

Write the equation y = -3x + 9 in standard form with integer
coefficients

Answer 1

i dont know how to do these can you teach me @mathmath333

Answer 2

only constant should be in RHS

x and y variable should be in LHS


like this

\(\Large ax+by=c\)

Answer 3

so what do i do

Answer 4

do u know LHS RHS ?

Answer 5

um not really

Answer 6

LHS=left hand side
RHS=right hand side

any clue now

Answer 7

oh okay so now that i now that what do i do with the equation

Answer 8

where is x variable in equation LHS or RHS

Answer 9

rhs

Answer 10

@mathmath333

Answer 11

ya right

Answer 12

so for bringing it , we need to shift it to LHS
for that when we shift the term to other hand side only thr sign
\(\huge \pm\) changes

Answer 13

example
\(a=-b\\then\\
a+b=0\)

or

\(a=c\\then\\a-c=0\)

Answer 14

When you bring something from RHS to LHS or LHS to RHS, then just reverse the sign as following:
a) the positive term will become negative and vice-versa.
b) the multiplication term will go onto divide and vice-versa.

Answer 15

so we to get the x over to the lhs side right

Answer 16

Like:
\(x + 4 = y + 6\)
Now suppose you want to bring \(+4\) to RHS, then bring it to RHS by changing its sign, thatn it + becomes _ now.
\(x = y + 6 - 4\)

Answer 17

See, in case of divide or multiplication, it is not that simple that you are thinking. For multiplication and divide, you should have only one term on RHS or LHS.

Answer 18

Like \(x\) is in multiplication with \(-3\) there, you know to separate it from \(x\), the \(-3\) will go into division on LHS, but first take all the others to LHS, like you have \(+9\) there, so first move +9 and then divide.

Answer 19

oh okay so how would i do the equation on top

Answer 20

Wait.

Answer 21

you have : \(y = -3x + 9\)

Answer 22

yea

Answer 23

\(-3x\) is a term, I mean as a whole it is a term only, so what is its sign?

Answer 24

Like \(9\) as \(+\) sign there, \(y\) has also \(+\) sign, likewise \(3x\) has what sign?

Answer 25

a negative

Answer 26

yes, so negative on RHS will go by becoming positive on left? Right?

Answer 27

See what is my post, I said, a negative term on RHS will go on LHS by changing its sign only, Plus becomes negative and negative becomes positive, getting?

Answer 28

yes sorry ok so a number Neg on RHS will turn positive in LHS

Answer 29

yep.

Answer 30

\(y = \color{red}{-3x} + 9\)
\(y \color{green}{+3x} = 9\), getting this?

Answer 31

yea

Answer 32

@waterineyes

Answer 33

So anything more you want to do here?

Answer 34

no thnxs sorry i took so long

Answer 35

Now, standard equation to look nice, \(x\) term will be written first, and then \(y\) term, = and then constant.
you must remember or note that: the coefficient of \(x\) must be positive.

Answer 36

you see, 3x is positive as well as y is positive, so just rearrange that, write x term first and then y.

Answer 37

\[\color{blue}{3x + y = 9}\]

Answer 38

Look the coefficient of \(x\) is \(3\) which is \(+\), so that is what standard equation wants from us. :)

Answer 39

so 3x+y=9

Answer 40

Good, yes.