X + y = 0 x - y = 8 What is the solution of the system shown? (-8, 12) (8, - 12) (8, 12)

see explanation

Step-by-step explanation:

Given the 2 equations

x + y = 0 → (1)

x - y = 8 → (2)

Adding the 2 equations term by term eliminates the term in y, that is

(x + x) + ( - y + y) = (8 + 0), that is

2x = 8 (divide both sides by 2)

x = 4

Substitute x = 4 into (1) for corresponding value of y

4 + y = 0 (subtract 4 from both sides)

y = - 4

Solution is (4, - 4)