Hilah's soccer team is trying to raise $2414 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $34 for the breakfast. How many people need to attend their breakfast in order to raise $2414?

Therefore we understand that exactly 71 people will have to attend breakfast in order to raise 2414 dollars.

Step-by-step explanation

We understand that we have to calculate the amount of people paying for breakfast so if 71 people each pay $34 we would get 2414

= 2414 ÷ 34 (This would give us 71 we get this straight away when we read the problem)

We can also fact check this by doing

= 34 x 71 (This gives us 2414)

{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