What is the answer to the question 4x+2y=8 5x-3y=4 using elimination and addition?

4x + 2y = 8 ⇒ 12x + 6y = 24

5x - 3y = 4 ⇒ 10x - 6y = 8

22x = 32

22 22

x = 1⁵/₁₁

4x + 2y = 8

4 (1⁵/₁₁) + 2y = 8

5⁹/₁₁ + 2y = 8

- 5⁹/₁₁ - 5⁹/₁₁

2y = 2²/₁₁

2 2

y = 1¹/₁₁

(x, y) = (1⁵/₁₁, 1¹/₁₁)