Yolanda paid for her movie ticket using 28 coins all nickles and quarters. the ticket cost $4. which system of linear equations can be used to find the number of nickles, n, and the number of quarter, q, yolanda used?

The number of nickels are 15 and the numbers of quarters are 13 .

Step-by-step explanation:

As given

The number of nickles = n

The number of quarter be q

As given

Yolanda paid for her movie ticket using 28 coins all nickles and quarters.

Than the equations becomes

n + q = 28

As given the ticket cost $4.

As

1 quarter = 0.25 dollar

1 nickel = 0.05 dollar

Than the equation becomes

0.05n + 0.25q = 4

Simplify the above

5n + 25q = 400

Than two equations are

n + q = 28 and 5n + 25q = 400

Multiply n + q = 28 by 5 and subtracted from  5n + 25q = 400  .

5n - 5n + 25q - 5q = 400 - 140

20q = 260

q = 13

Put in the equation n + q = 28

n + 13 = 28

n = 28 - 13

n = 15

Therefore the number of nickels are 15 and the numbers of quarters are 13 .

where is the page?

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