Solve by the elimination method, 9x-y=71 x+8y=16

multiply x+8y=16 by 9 which is 9x+72y=144

then you get y=1 after equation work

sub y=1 into equation x+8y=16

then you get x=8

9x-y=71

x+8y=16

8 (9x-y=71)

72x-8y=568

x+8y=16

You add the like terms together and the y's get "eliminated" making it

73x=584

x=8

Plug x into one of the original equations (either one it will give you the same answer)

9 (8) - y=71

72-y=71

-y=-1

y=1

x=8 y=1 or (8,1) is the final answer.