Jake is comparing the prices of two mattress cleaning companies. company a charges $30 per mattress and an additional $13 as service charges. company b charges $28 per mattress and an additional $15 as service charges.

part a: write an equation to represent each company's total charges for cleaning a certain number of mattresses. for both equations (one for company a and one for company b), define the variable used. (4 points)

part b: which company would charge less for cleaning 4 mattresses? justify your answer. (3 points)

part c: how much money is saved by using the services of company b instead of company a to clean 7 mattresses? (3 points)

{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

asdsaddsa

step-by-step explanation: