Question

write each equation in standard form using integers.
y=2x+5
y-4=-2(x-3)

Answer 1

@Ednac

Answer 2

@SolomonZelman

Answer 3

So, the standard form of the equation is: \(\large\color{black}{ Ax+yB=C }\)
where A, B and C are just constants (numbers, not variables).

Answer 4

ok i understand so far

Answer 5

I mean, \(\large\color{black}{Ax+By=C }\) sorry.

Answer 6

Okay, so you have to rearrange your equations, so that y and x are on one side and y, and the number is on the other.

Answer 7

its all good. i just forgot how to change it to standard form

Answer 8

ok

Answer 9

I'll do the first one for you, and you do the second, okay?

Answer 10

ok

Answer 11

My connection snapped, apologize.

Answer 12

\(\large\color{black}{ y=2x+5 }\)
subtract 2x from both sides,

\(\large\color{black}{ y\color{red}{-2x}=2x+5\color{red}{-2x} }\)
2x on the right cancels.
\(\large\color{black}{ y-2x=5 }\)

then the Xs have to be before the Ys.
\(\large\color{black}{ -2x+y=5 }\)

I switched X and Y, I am done.

Answer 13

ok let me try the second one

Answer 14

sure. go ahead;)

Answer 15

if your stuck, I'll give you a step.

Answer 16

ok can you help me with the first step

Answer 17

Expand the right side.

Answer 18

subtract 4 from both sides?

Answer 19

\(\large\color{black}{ y-4=-2(x-3) }\) (it's hard to keep looking back up )
```
and you can use my thingy with codes: just copy the line below,

\(\large\color{black}{ y-4=-2(x-3) }\)
```

And Wait, have you expanded the right side?
I mean, you can start from adding 4 from both sides too if you would like to, but you would either way have to expand the \(\large\color{black}{-2(x-3) }\)

Answer 20

having trouble with something, what is it?

Answer 21

its just confusing to me I'm just going over what you said to do

Answer 22

well, you can ignore the part with codes, if you want.

Answer 23

I re-posted the equation not to look back. Then I gave you the codes to use in a gray box. And after this, I said that you can start from either adding 4 to both sides, or expanding the -2(x-3).

Answer 24

y=-2(x-3)+4

Answer 25

is this what it should look like so far

Answer 26

yes, you are going the correct direction, then expand the -2(x-3) (thats on the right hand side )

Answer 27

i feel stupid asking but how to i expand the right side

Answer 28

Okay, multiply -2 by x, and by -3.

Answer 29

So what will \(\large\color{black}{ -2(x-3) }\) be equal to?