Solve the system graphically.
-$$\begin{array} { l }
x ^ { 2 } + y ^ { 2 } = 13.85 \
x = 3 y = 1
\end{array}$$
A) $\approx ( 3.42,1.47 )$ and $\approx ( - 3.62 , - 0.87 )$
B) $\approx ( - 3.41 , - 1.47 )$ and $\approx ( 3.62,0.87 )$
C) $\approx ( 1.47,3.42 )$ and $\approx ( - 0.87 , - 3.62 )$
D) $\approx ( - 11.26 , - 3.42 )$ and $\approx ( 11.06,4.02 )$

Question

Solve the system graphically.
-$$\begin{array} { l } 
x ^ { 2 } + y ^ { 2 } = 13.85 \
x = 3 y = 1
\end{array}$$
A) $\approx ( 3.42,1.47 )$ and $\approx ( - 3.62 , - 0.87 )$
B) $\approx ( - 3.41 , - 1.47 )$ and $\approx ( 3.62,0.87 )$
C) $\approx ( 1.47,3.42 )$ and $\approx ( - 0.87 , - 3.62 )$
D) $\approx ( - 11.26 , - 3.42 )$ and $\approx ( 11.06,4.02 )$

Quizplus · Accepted Answer

The system of equations can be graphed as a circle and a line. The circle has a radius of $\sqrt{13.85} \approx 3.72$ and is centered at the origin. The line has a slope of 1 and a y-intercept of 1. The two graphs intersect at two points, which are approximately $( 3.42,1.47 )$ and $( - 3.62 , - 0.87 )$.

Solve the System Graphically x2+y2=13.85x=3y=1\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 13.85 \\x = 3 y = 1\end{array}x2+y2=13.85x=3y=1​

Solve the System Graphically $\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 13.85 \\x = 3 y = 1\end{array}$