A rectangular field is four times as long as it is wide if the perimeter of the field is 490 yards what are the fields dimensions

{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

step-by-step explanation:

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none of the given options is right.

step-by-step explanation:

y = -3/4x - 2

y = x + 6

are the given equations.

since both the equations are of the form y = we can eliminate y easily.

x+6 = -3x/4-2

multiply by 4

4x+24 =-3x-8

7x = -8-24 = -32

x = -32/7

y =x+6 = -32/7+6 = 10/7

answer is (-32/7, 10/7)