Question

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​

Answer 1

• a) 2x -y = -5; A=2, B=-1, C=-5
• b) y = 2x +5

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