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Verified Answer :

x= 3 and y=7

7(-9x+4y=55)
-4(-11x+7y=82)

63x + 28y = 385
44x - 28y = -328
-------------------------
19x            =57
x=3

63(3) + 28y = 385
189 = 28 = 385
28y = 196
y=7

we have

\(-9x+4y=55\) -----> equation A

\(-11x+7y=82\) -----> equation B

Using a graphing tool

we know that

the intersection both graphs is the solution of the system of equations

see the attached figure

The solution is the point \((-3,7)\)

therefore

the answer is

\(x=-3\\y=7\)

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