You are at a sandwich shop. You can choose from white or rye bread,
turkey or ham, and Swiss or American cheese to make your sandwich.
All eight possible sandwich combinations are listed below.
If we take sandwiches 2 and 6 as a subset of the sample space, which
of the statements below describe this subset?
Choose all answers that apply:
The subset consists of all the sandwiches with white bread.
The subset consists of all the sandwiches without ham and without Swiss
cheese
The subset consists of all the sandwiches with turkey and American
cheese
The subset consists of all the sandwiches with ham

C.

Step-by-step explanation:

the subset consists of all the sandwiches with turkey and american cheese

{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