Adam goes to a skating rink on tuesdays for $8.50. while there, he pays $1.50 for each item he buys at the concession stand. which equation best represents this information?

Step-by-step explanation:

Given : Adam goes to a skating rink on Tuesdays for $8.50. While there, he pays $1.50 for each item he buys at the concession stand.

To Find : Which equation best represents this information?

Solution :

Let the total cost be y

let no. of items he buys = x

Since cost of 1 item is $1.50

So, cost of x items is 1.50 x

Since cost of skating is $8.50

So, the total cost =

⇒

{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

answer: 12   they all have at least 28 days

step-by-step explanation: haha