Determine the real solutions to the system of nonlinear equations.
-$$\begin{array} { l }
x ^ { 2 } + y ^ { 2 } = 169 \
x + y = 17
\end{array}$$
A) $( - 12,5 ) , ( - 5,12 )$
B) $( 12 , - 5 ) , ( 5 , - 12 )$
C) $( - 12 , - 5 ) , ( - 5 , - 12 )$
D) $( 12,5 ) , ( 5,12 )$

Question

Determine the real solutions to the system of nonlinear equations.
-$$\begin{array} { l } 
x ^ { 2 } + y ^ { 2 } = 169 \
x + y = 17
\end{array}$$
A) $( - 12,5 ) , ( - 5,12 )$
B) $( 12 , - 5 ) , ( 5 , - 12 )$
C) $( - 12 , - 5 ) , ( - 5 , - 12 )$
D) $( 12,5 ) , ( 5,12 )$

Quizplus · Accepted Answer

From the first equation, we have a circle with radius 13 centered at the origin. The second equation is a line. The solutions are the intersection points of the circle and the line, which are in the positive quadrant, making D the correct choice.

Determine the Real Solutions to the System of Nonlinear Equations x2+y2=169x+y=17\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 169 \\x + y = 17\end{array}x2+y2=169x+y=17​

Determine the Real Solutions to the System of Nonlinear Equations $\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 169 \\x + y = 17\end{array}$