Solve the system graphically. $\left\{ \begin{aligned}
x ^ { 2 } + y ^ { 2 } & = 85 \
( x - 5 ) ^ { 2 } + y ^ { 2 } & = 50
\end{aligned} \right.$
A)(8, -8), (8, 8)
B)(-8, -8), (-8, 8)
C)(-6, -7), (6, 7)
D)(8, 7), (8, 8)
E)(6, 7), (6, -7)

Question

Solve the system graphically.  $\left\{ \begin{aligned}
x ^ { 2 } + y ^ { 2 } & = 85 \
( x - 5 ) ^ { 2 } + y ^ { 2 } & = 50
\end{aligned} \right.$  
A)(8, -8), (8, 8)
B)(-8, -8), (-8, 8)
C)(-6, -7), (6, 7)
D)(8, 7), (8, 8)
E)(6, 7), (6, -7)

Quizplus · Accepted Answer

The first equation represents a circle centered at the origin (0,0) with a radius of $\sqrt{85}$. The second equation represents a circle centered at (5,0) with a radius of $\sqrt{50}$. The correct intersections, based on the graphical solution, are (6, 7) and (6, -7).

Solve the System Graphically {x2+y2=85(x−5)2+y2=50\left\{ \begin{aligned}x ^ { 2 } + y ^ { 2 } & = 85 \\( x - 5 ) ^ { 2 } + y ^ { 2 } & = 50\end{aligned} \right.{x2+y2(x−5)2+y2​=85=50​

Solve the System Graphically $\left\{ \begin{aligned}x ^ { 2 } + y ^ { 2 } & = 85 \\( x - 5 ) ^ { 2 } + y ^ { 2 } & = 50\end{aligned} \right.$