Margie has 5 times as many nickels as quarters. She has a total of $2.00. Write a system of equations to represent the situation. Let n represent the number of nickels and q represent the number of quarters. Solve the system you wrote in part (a). Show your work. Interpret your solution in the context of the problem. I really do need the help

Margie has 20 nickel's coin and has 4 quarter's coin

Step-by-step explanation:

Let

x ---> the number of nickel's coin

y ----> the number of quarter's coin

Remember that

we know that

Margie has a total of $2.00

so

----> equation A

Margie has 5 times as many nickels as quarters

so

----> equation B

substitute equation B in equation A

solve for y

Multiply by 100 both sides

Find the value of x

therefore

Margie has 20 nickel's coin and has 4 quarter's coin

{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

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answer:   {x = -1/2 ,   y = -1

answer: this is not a question

step-by-step explanation: this is a answer