The owner of a new restaurant is designing the floor plan, and he is deciding between two different seating arrangements.
The first plan consists of 5 tables and 10 booths, which will seat a total
of 110 people.
The second plan consists of 5 tables and 8 booths, which will seat a total
of 90 people.
How many people can be seated at each type of table?
A:Every table can seat 5 people and every booth can seat10 people.

B:Every table can seat 2 people and every booth can
seat 10 people.

C:Every table can seat 2 people and every booth can seat 5 people.

D:Every table can seat 5 people and every booth can seat 2 people,

1010: 3030

is it i think

{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