Question

Rewrite the equation in Ax+By=C
This is what I have so far:
y-3=2(x-5)
y-2=2x-10

Answer 1

since we want it in the form Ax+By=C, you basically have to get the x & y terms on the left side

get everything else to the right side

Answer 2

So subtract 2x. 2x-y-3=-10

Answer 3

I mean -2x+y-3=-10

Answer 4

correct?

Answer 5

Then -2x+y=-7

Answer 6

good,

y-3=2(x-5)
y-3=2x-10
-2x+y = -10+3
-2x+y = -7

Answer 7

now some books require A to be positive

to do that, we multiply both sides by -1

-2x+y = -7
-1*(-2x+y) = -1*(-7)
2x-y = 7

Answer 8

Then its 2x+y=7?

Answer 9

this step is optional

Answer 10

ohh

Answer 11

you forgot to multiply -1 by the +y term to get -y

Answer 12

Thanks for the clarification. 2x-y=7??

Answer 13

yep, assuming the requirement your book/teacher needs A > 0

Answer 14

Yes! Alright thanks for that!

Answer 15

no problem