A) write the following in standard form and find a, b and c
b) solving for y for each of the following.
1. -2x = -y+5

Step-by-step explanation:

a) Standard Form is ...

  Ax + By = C

where A > 0 and A, B, C are mutually prime.

To get that form, we can add 2x-5 to both sides of the equation:

  (2x -5) -2x = (2x -5) -y +5

  -5 = 2x -y

Then we can swap sides of the equal sign:

  2x -y = -5 . . . . . . standard form

Matching this to the generic standard form equation, we find ...

  A = 2

  B = -1

  C = -5

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b) We can solve for y by adding 2x+y to both sides of the equation:

  (2x +y) -2x = (2x +y) -y +5

  y = 2x +5 . . . . . . slope-intercept form