You have $20 dollars to spend at the movies. All popcorns are $5 and all candies are $4. Write an equation to describe how many popcorns and candies you can spend at the movies.

5p + 4c = 20

Step-by-step explanation:

lets have p stand for the number of popcorn we buy and c stand for the number of candy we buy

you can only spend $20, so we know we need to set our equation equal to $20

now we take the price of of popcorn and multiply it p, the number of popcorn we buy. and we can do the same thing with candy.

so we end up with 5p + 4c = 20

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8

{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