Fiona is serving iced tea and lemonade at a picnic she has only 44 cups in which to serve the drinks if x represents the number of glasses of iced tea and y represents the number of glasses of lemonade which equation represent the number of glasses of iced tea she can serve

Number of glasses of iced tea is given by

Step-by-step explanation:

Let the number of glasses of iced tea be 'x'.

Let the number of glasses of lemonade be 'y'.

Total number of cups in which to serve the drinks = 44

So, the equation would be

We need to find the equation represent the number of glasses of iced tea she can serve.

So, Number of glasses of iced tea is given by

{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