A triangle has side lengths of (4.7a-6.2b) centimeters, (6.3a+5.1c) centimeters, and (1.6c-4.9b) centimeters. Write an expression (in the simplest form) to represent the perimeter of the triangle.

  11a - 11.1b + 6.7c

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides:

  (4.7a-6.2b) +(6.3a+5.1c) +(1.6c-4.9b)

  = a(4.7 +6.3) +b(-6.2 -4.9) +c(5.1 +1.6)

  = 11a - 11.1b + 6.7c

{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