Sales tax in your community is 5.25 cents for each dollar spent. What is the total cost at the movies for three tickets at $8.50, three bags of popcorn for $1.25 each, and two soft drinks for $1.50 each?
3(8.50 +1.25 +1.50) +5.25 = 38.90
1.0525 {3(8.50 +1.25 +1.50)} = 35.52
1.0525 {3(8.50 +1.25) + 2(1.50)} = 33.94
3(8.50 +1.25 +1.50) +.0525 = 33.82
3(8.50 +1.25) + 2(1.50) +.0525 = 32.30

{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

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step-by-step explanation: