Step-by-step explanation
Since we have the system of equations:
(1) x - y = 0
(2) x + y = -4
Isolating x in (1):
x = y
Plugging in x=y into (2):
y + y = -4
Adding like terms:
2y = -4
Dividing both sides by 2:
y = -4/2
Simplifying:
y = -2
Plugging in y=-2 into (1):
x - (-2) = 0
Removing the parentheses:
x + 2 = 0
Subtracting -2 to both sides:
x = -2
The solution of the system of equations is (-2, -2)
Representing the graph: