The perimeter of the polygon is 27.4 centimeters. write and solve an equation to find the unknown side length. the side lengths are 6.3, 5.6, and 8.4

Equation:

Side lenght:

Step-by-step explanation:

By definition, the perimeter of a polygon can be calculated by adding the lenghts of its sides.

Let be "x" the unknown side lenght of the given polygon.

In this case, you know that the perimeter of this polygon is:

Knowing that the known sides lenghts are: and , you can write the following equation:

Finally, you must solve for "x" in order to find the unknown side lenght.

Therefore, this is:

{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

yes

step-by-step explanation: