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
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
[tex]-9x+4y=55[/tex] -----> equation A
[tex]-11x+7y=82[/tex] -----> 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 [tex](-3,7)[/tex]
therefore
the answer is
[tex]x=-3\\y=7[/tex]
