Find the solution of - x+5y=-18 5x-9y=10

-x + 5y = - 18 so x = 5y + 18

5x-9y=10

substitute x = 5y + 18 into 5x - 9y = 10

5x - 9y = 10

5 (5y + 18) - 9y = 10

25y + 90 - 9y = 10

16y = - 80

y = - 5

x = 5y + 18

x = 5 (-5) + 18

x = - 25 + 18

x = - 7

answer

(-7, - 5)