Answer:
The system has no solutions.
Step-by-step explanation:
Let's write it in a more traditional form
[tex]\left \{ {{x-y=7} \atop {6x-6y=-7}} \right. \\[/tex]
Try staring at it for a bit, and then realize what you are being asked: find two numbers whose difference is - at the same time, 7, and -7/6. That's impossible.
Same result you get by elimination. Multiply the first by 6 and either add or subtract - your choice the second. In either case you will get 0 = 35 or 0=49, which are obviously absurd