Question

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

Answer 1

The answer is (8, -12). I just turned the assignment in.

Explanation:

They meant to type

1/2x + 1/3y = 0

1/4x - 1/2y = 8

Answer 2

see explanation

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 )