Answer:
x = 5 , y = 2
Explanation:
given the simultaneous equations
2x + 13y = 36 → (1)
13x + 2y = 69 → (2)
multiplying (1) by 2 and (2) by - 13 and adding the result will eliminate y
4x + 26y = 72 → (3)
- 169x - 26y = - 897 → (4)
add (3) and (4) term by term to eliminate y
(4x - 169x) + (26y - 26y) = 72 - 897
- 165x + 0 = - 825
- 165x = - 825 ( divide both sides by - 165 )
x = 5
substitute x = 5 into either of the 2 original equations and solve for y
substituting into (1)
2(5) + 13y = 36
10 + 13y = 36 ( subtract 10 from both sides )
13y = 26 ( divide both sides by 13 )
y = 2
solution is x = 5 and y = 2