Answer:
(5, 2 )
Explanation:
5x + 2y = 29 → (1)
x + 4y = 13 → (2)
multiplying (1) by - 2 and adding to (2) will eliminate y
- 10x - 4y = - 58 → (3)
add (2) and (3) term by term to eliminate y
- 9x + 0 = - 45
- 9x = - 45 ( divide both sides by - 9 )
x = 5
substitute x = 5 into either of the 2 equations and solve for y
substituting into (2)
5 + 4y = 13 ( subtract 5 from both sides )
4y = 8 ( divide both sides by 4 )
y = 2
solution is (5, 2 )