Solve for y and show how u got answer?

Question

1/2x-4/5y=19

x=6

Answer 1

3 - 4/5y = 19

4/5 y = 3 - 19

4/5 y = -16

y = -20

Answer 2

1/2x - 4/5y = 19 ; x = 6

SOLUTION:

- 4/5y = 19 - 1/2(6) [x=6, so substitute x with 6]

- 4/5y = 19 - 6/2     [1/2 multiplied by 6 is 6/2]

- 4/5y = 19 - 3        [6 divided by 2 is 3]

- 4/5y = 16             [19 - 3 is 16]

-1(4/5y) = -1(16)     [multiply both sides of equation by -1]

  4/5y = -16            [this will make the y positive]

5/4(4/5y) = 5/4(-16) [multiply both sides by 5/4, the reciprocal of 4/5. This will remove the numerical coefficient of y; 5 multiplied by -16 is -80, -80 divided by 4 is -20]

  

ANSWER: [y = -20]

If you want to check the answer...

1/2x - 4/5y = 19 ; x = 6, y = -20

1/2(6) - 4/5 (-20) = 19

3 - (-16) = 19

3 + 16 = 19

Answer 3

1/2 x 6 = 6/2 which is 3.

3 - 4/5 = 2

2y = 19

2x9.5=19

y=9.5