First,
, and if we multiply
by
we get

Subtracting this from the numerator gives a remainder of

Next,
, and if we multiply
by
we have

and subtracting this from the previous remainder, we end up with a new remainder of

Next,
, and if we multiply
by
we get

Subtracting from the previous remainder, we get a new remainder of

which contains no more factors of
, so we're done.
So,

Answer:
standard form of given equation is 5x - 8y = -3
Step-by-step explanation:

Standard form of linear equation is Ax + By = C
First we remove the denominator 8
We multiply the whole equation by 8
So equation becomes
8y = 5x + 3
Now we move 5x to the left hand side, we subtract 5x on both sides
-5x + 8y = 3
Now we remove the negative side from -5x by dividing the whole equation by -1
5x - 8y = -3
8-7=1 3-4=1 5-2=3 So it is 311.