Two equations for the constant of proportionality equal to 1/2

y=kx and y=are two equations of constant of proportionality

Step-by-step explanation:

          There are two equations for the constant of proportionality. That is

                       (i) Direct proportion

                       (ii) Inverse proportion

          In direct proportion y=kx, Now

                  if x increases, then y also increases and if x decreases, then y also decreases. So, k is a constant proportionality.

         In Inverse proportion y=, Now

                 if x increases then y decreases and if x decreases, then y increases and k is a constant proportionality.

         In direct proportion, we put y=1 and x=2, So k=.

         So, the equations y=kx and y= are two equations of constant of proportionality.

step-by-step explan mxfcg'k; uafwgzfgjhklhgation:

{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