Solve each system using elimunation

x + y = 2

x - y = 4

solution is (3, - 1)

Step-by-step explanation:

given the 2 equations

x + y = 2 → (1)

x - y = 4 → (2)

Adding the 2 equations term by term will eliminate the y-term

(x + x) + (y - y) = (2 + 4)

2x = 6 (divide both sides by 2)

x = 3

substitute x = 3 in either (1) or (2) for y

(1) → 3 + y = 2 (subtract 3 from both sides)

y = 2 - 3 = - 1

solution is (3, - 1)