Explanation:
5x+3y = 12 ...1
4x-5y = 17 ...2
...1 × 5 both sides of the equation
25x + 15y = 60 ...3
...2 × 3 both sides of the equation
12x - 15y = 51 ...4
...3 + ...4
25x + 15y + 12x -15y = 60+51
37x = 111
x = 111/37 = 3
replace x = 3 in ...1
y = .......