Question

Help! Rewrite the equation in ax+by=c form

Answer 1

same method as the last one
distribute first

Answer 2

@satellite73 ohh okay thanks

Answer 3

i can check your answer if you like

Answer 4

Okay sounds good, Give me a minute

Answer 5

I got 2x+y=2

Answer 6

lets go slow

Answer 7

what do you get when you remove the partentheses using the distributive law for
\[2(x-3)\]?

Answer 8

2x-6

Answer 9

ok good

Answer 10

so now we are at
\[y+4=2x-6\]

Answer 11

Do we move all the variables to one side?

Answer 12

yes and no

Answer 13

we don't "move" in math, just add, subtract, multiply, divide

Answer 14

you want the variables on the left or the right?

Answer 15

left

Answer 16

ok so don't "move" the \(2x\) to the left, "subtract" \(2x\) from both sides

Answer 17

yes, got that. so 2x-y+4=6

Answer 18

then we subtract -4 to both sides? right?

Answer 19

the minus sign goes in front of the \(2x\) not behind it
\[-2x+y+4=-6\]

Answer 20

Ohh okay! I see now.

Answer 21

now you would subtract the \(4x\) from both sides
also don't drop the minus sign in front of the \(-6\) on the right

Answer 22

oops i mean subtract \(4\) from both sides, sorry b

Answer 23

Right no worries so, -2x+y=-10

Answer 24

right
maybe one more step, maybe not

Answer 25

some people like the coefficient of the x term to be positive
if so, just change the sign of everything, go form
\[-2x+y=-10\] to
\[2x-y=10\] same equation

Answer 26

Okay. I understand this more now

Answer 27

good!

Answer 28

Thanks!