Compost costs $10 per cubic yard and topsoil costs $2 per cubic yard. Maria needs more than 10 cubic yards of topsoil. She can spend no more than $50. The graph below represents the amount of each she can buy. On a coordinate plane, 2 straight lines are shown. The x-axis shows cubic yards of compost, from 0 to 10, and the y-axis shows cubic yards of topsoil, from 0 to 16. A horizontal dashed line is at y = 10. Everything above the line is shaded. A solid straight line has a negative slope and goes through (3, 10) and (5, 0). Everything to the left of the line is shaded.
Which amounts of materials satisfy the relationship?

It's C

Step-by-step explanation:

I know this is old but I'm putting it here for others who happen to be behind or looking for answers. Have a nice day everyone ^^

dude thats to long figure it

step-by-step explanation:

{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