Substituition method

5x-3y+1=16

2x+5y=-6

5x - 3y + 1 = 16 ⇒ 10x - 6y + 2 = 16

2x + 5y + 0 = - 6 ⇒ 10x + 25y + 0 = - 6

31y + 2 = 10

-2 - 2

31y = 8

31 31

y = 8/31

5x - 3 (8/31) + 1 = 16

5x - 24/31 + 1 = 16

5x + 7/31 = 16

-7/31 - 7/31

5x = 10 24/31

5 5

x = 2 24/155

(x, y) = (2 24/155, 8/31)