I went ahead and rewrote x+6y=61 to x=-6y+61 to get x by itself.
I then plugged that into to the first equation to get:
4(-6y+61)-5y=-17
I factored to get:
-24y+244-5y=-17
I combined like terms
-29y=-261
I then divided both sides by -29 to get y by itself and I got y=9 which is A.
