Determine the real solutions to the system of nonlinear equations.
-$$\begin{array} { l }
x ^ { 2 } + y ^ { 2 } - 4 x + 4 y + 7 = 0 \
x ^ { 2 } - y ^ { 2 } - 4 x - 4 y - 1 = 0
\end{array}$$
A) $( 2 , - 1 ) , ( 2 , - 3 )$
B) $( 2,1 ) , ( 2,3 )$
C) $( 3 , - 2 ) , ( 1 , - 2 )$
D) $( 3 , - 2 ) , ( - 1 , - 2 )$

Question

Determine the real solutions to the system of nonlinear equations.
-$$\begin{array} { l } 
x ^ { 2 } + y ^ { 2 } - 4 x + 4 y + 7 = 0 \
x ^ { 2 } - y ^ { 2 } - 4 x - 4 y - 1 = 0
\end{array}$$
A) $( 2 , - 1 ) , ( 2 , - 3 )$
B) $( 2,1 ) , ( 2,3 )$
C) $( 3 , - 2 ) , ( 1 , - 2 )$
D) $( 3 , - 2 ) , ( - 1 , - 2 )$

Quizplus · Accepted Answer

By solving the system of equations, we find that the real solutions are $(3, -2)$ and $(1, -2)$.

Determine the Real Solutions to the System of Nonlinear Equations x2+y2−4x+4y+7=0x2−y2−4x−4y−1=0\begin{array} { l } x ^ { 2 } + y ^ { 2 } - 4 x + 4 y + 7 = 0 \\x ^ { 2 } - y ^ { 2 } - 4 x - 4 y - 1 = 0\end{array}x2+y2−4x+4y+7=0x2−y2−4x−4y−1=0​

Determine the Real Solutions to the System of Nonlinear Equations $\begin{array} { l } x ^ { 2 } + y ^ { 2 } - 4 x + 4 y + 7 = 0 \\x ^ { 2 } - y ^ { 2 } - 4 x - 4 y - 1 = 0\end{array}$