What are the domain and range of the relation {(–5, 5), (–3, 2), (0, 3), (3, 2)}?   a. domain: {0, 2, 3, 5}; range: {–5, –3}   b. domain: {2, 3, 5}; range: {–5, –3, 0, 3}   c. domain: {–5, –3, 0, 3}; range {–5, –3, 0, 2, 3, 5}   d. domain: {–5, –3, 0, 3}; range {2, 3, 5} | can you also tell me how to get domain

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step-by-step explanation:

{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