Question

hi, I would greatly appreciate if someone left the work step by step to solve one of these questions so I can understand it? if it's possible ​

Answer 1

see below

Explanation:

a

y = 2x -3

Standard form is Ax + By =C where A is a positive integer and B and C are integers

Subtract 2x from each side

y-2x = 2x-2x -3

-2x+y = -3

We want A to be positive

Multiply each side by -1

2x -y = 3

This is in standard form

b

y = 2/3 x -7

Subtract 2/3x from each side

y-2/3x = 2/3x-2/3x -7

-2/3x+y = -7

We want A to be positive integer

Multiply each side by -3

-3*(-2/3x+y) = -7*-3

2x -3y = 21

c

y = -3x +1/2

Add 3x to each side

3x +y = -3x+3x +1/2

3x+y = 1/2

Multiply each side by 2

2(3x+y) = 1/2*2

6x+2y = 1