Sheryl has 7 2/3 hours this weekend to work on her now video. She estimates it will take 1 3/4 hours to ip sync the new song and 3 1/2 hours to learn the new dance steps. How much time will she have left for her VIV interview?

2 and 5/12 hours = v

Step-by-step explanation:

Total time = 7 and 2/3  hours

IP sync time = 1 and 3/4 hours

Learn dance = 3 and 1/2 hours

VIV interview =  v ?

so

7 and 2/3  =  1 and 3/4  + 3 and 1/2  + v

solve for v

3 and 2/3 = 3/4 + 1/2 + v

11/3 = 5/4 + v

11/3 - 5/4 = v

44 - 15 / 12  = v

29/12 = v

2 and 5/12 hours = v

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1