(-11, 5)
1) Given the lines describe by 6y - x= 41 and 6y -5x = 85
2) Let's find out the intersection point, solving this Linear system:
6y - x= 41 x( -1) Multiply by -1 to eliminate y term
6y -5x = 85
-6y +x = -41
6y -5x = 85
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-4x =44
4x=-44
x=-11
2.2) Now let's plug into the 1st equation x= -11
6y -(-11) = 41
6y +11 = 41
6y = 41-11
6y = 30
y= 5
3) Hence, the point of intersection is (-11, 5)