As a team we are having trouble coming up with the same ordered pairs for the following 7x+6y=15 and -7x+y=27. We came up with (17,-8) can you show your steps please

Try your team's (17, -8) answer in the original equations and you will realize it doesn't work.

Add the two equations together and you eliminate the x term, and get

7y = 42
which leads to y = 6

Since 7x = 15 - 6y,
7x = 15 - 36 = -21
x = -3