Solve the system of linear equations. 9x-19y=74 and 3x+3y=6

Solve the system of linear equations. 9x-19y=74 and 3x+3y=6 3x+3y=6

Solve equation #2 for x

3x = 6-3y

x = 2-y

Plug x above in equation #1 to find y

9x-19y=74

9 (2-y) - 19y = 74

18 - 9y - 19y = 74

-28y = 74 - 18

-28y = 56

y = 56 / (-28)

y = - 2

plug y = - 2 into x = 2-y to look for x

x = 2 - (-2)

x = 2 + 2

x = 4

OK answer x = 4 and y = - 2

{x, y} = {4, - 2}