Find the Equation of the Circle with a Radius of 9

Multiple Choice

Find the equation of the circle with a radius of 9 and its center at the intersection of $4 x + y = 1$ and $- 5 x -$ $4 y = 7$ .

A) $( x - 1 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 9$
B) $( x - 1 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 81$
C) $( x + 1 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 9$
D) $( x + 1 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 81$
E) none of these