What are the solution of the following system X-y=-4 / 4x-4y=-16

Solve equation [1] for the variable  y  

 [1]    y = -x - 4

Plug this in for variable  y  in equation [2]

  [2]    4x - 4•(-x -4) = 16

  [2]    8x = 0

Solve equation [2] for the variable  x  

   [2]    8x = 0  

  [2]    x = 0  

By now we know this much :  

   x = 0

   y = -x-4

Use the  x  value to solve for  y  

   y = -(-0/32766)-4 = -4  

Solution :

{x,y} = {0/32766,-4}

{x,y} = {0,-4}

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.