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The ordered paid is:
{x -> 8.07453, y -> -7.8882}

how sure are you on that one?

It also solve with the elimination method

I am not sure exactly how to do that? please help

working

those are huge answer though to plug in to my paper.

-1400 + 105 x - 70 y == 0
100 + 56 x +70 y == 0

-1300 + 161 x == 0
x=1300/161

So is that the order pair 1300,161?