With the summer approaching, Mya decides to start a small lawn mowing business in her town. The initial cost for the lawnmower and other fixed expenses is $450. She determines it will cost her $6 per lawn for gasoline and maintenance. Mya decides to charge customers $20 per lawn.

Step-by-step explanation:

I believe we are expected to solve for the number of lawns she would mow before she could make profit

let the cost be C

and let the price be P

and let the number of lawn be x

C=$4501

P=6+20x2

equating 1 and 2 we can find x

450=6+20x

450-6=20x

444=20x

x=444/20

x=22.2

therefore for her to break even and start making profit she need to mow 22.2 lawns and above

20

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