A jar has some dimes and quarters in it. There are a total of 27 coins and the total value of the coins is $4.50. Melissa says there are 5 dimes and 16 quarters. Doug says there are 30 dimes and 6 quarters. Zoey says there are 20 dimes and 10 quarters. They are all incorrect. Select one person and explain why he or she is incorrect. Then, state the correct number of each type of coin. Be sure to explain how you arrived at your answer. identify who you have chosen

explain why you think he or she is incorrect

justify your reasoning mathematically

give the correct number of each type of coin

use appropriate mathematics to support your answer

{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

0.038

step-by-step explanation:

113.42

i hope that is right.

step-by-step explanation: