Question

Solve the following system using the elimination method: 2x-4y=2 -4x+6y=-4

Answer 1

Answer:

(1, 0)

Step-by-step explanation:

Given the 2 equations

2x - 4y = 2 → (1)

- 4x + 6y = - 4 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the x- term

4x - 8y = 4 → (3)

Add (2) and (3) term by term

(- 4x + 4x) + (6y - 8y) = (- 4 + 4), simplifying gives

- 2y = 0 ⇒ y = 0

Substitute y = 0 in (1) or (2)

Substituting in (1) gives

2x - 0 = 2, that is

2x = 2 ( divide both sides by 2 )

x = 1

Solution is (1, 0 )