we have the system
-3x+8y=11 -------> equation A
-3x-5y=-41 ------> equation B
solve by elimination
Multiply equation A by -1
so
-1[-3x+8y=11] ------> 3x-8y=-11 ------> new equation A
Adds new equation A and equation B
3x-8y=-11
-3x-5y=-41
-----------------
-8y-5y=-11-41
-13y=-52
y=4
Find the value of x
substitute the value of y in any equation
-3x+8y=11
-3x+8(4)=11
-3x=11-32
-3x=-21
x=7
therefore
the solution is the point (7,4)