Look at the graph below:
first line joins ordered pairs negative 4, 3 and 2, negative 3. second line joins negative 4, negative 3 and 2, 3. part a shaded above first and second line. part b shaded below first line and above second line. part c shaded below first and second lines. part d shaded above first line and below second line.
which part of the graph best represents the solution set to the system of inequalities y ≥ x + 1 and y + x ≥ −1?
a). part a
b). part b
c). part c
d). part d

{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

it should be a.

hope it

it is impossible.