Answer:
(2, 3 )
Explanation:
given the 2 equations
- 5x + 4y = 2 → (1)
5x + y = 13 ( subtract 5x from both sides )
y = 13 - 5x → (2)
substitute y = 13 - 5x into (1)
- 5x + 4(13 - 5x) = 2 ← distribute parenthesis on left side and simplify
- 5x + 52 - 20x = 2
- 25x + 52 = 2 ( subtract 52 from both sides )
- 25x = - 50 ( divide both sides by - 25 )
x = 2
substitute x = 2 into (2) and solve for y
y = 13 - 5(2) = 13 - 10 = 3
solution is (2, 3 )