Find the solution set for the system by graphing both of the system's equations in the same rectangular coordinate
system and finding points of intersection.
-$$\left\{ \begin{array} { l }
x ^ { 2 } + y ^ { 2 } = 25 \
x + y = 7
\end{array} \right.$$

A) $\{ ( 4,3 ) , ( 3,4 ) \}$
B) $\{ ( - 4,3 ) , ( - 3,4 ) \}$
C) $\{ ( 4 , - 3 ) , ( 3 , - 4 ) \}$
D) $\{ ( - 4 , - 3 ) , ( - 3 , - 4 ) \}$

Question

Find the solution set for the system by graphing both of the system's equations in the same rectangular coordinate
system and finding points of intersection.
-$$\left\{ \begin{array} { l } 
x ^ { 2 } + y ^ { 2 } = 25 \
x + y = 7
\end{array} \right.$$

A) $\{ ( 4,3 ) , ( 3,4 ) \}$ 
B) $\{ ( - 4,3 ) , ( - 3,4 ) \}$ 
C) $\{ ( 4 , - 3 ) , ( 3 , - 4 ) \}$ 
D) $\{ ( - 4 , - 3 ) , ( - 3 , - 4 ) \}$

Quizplus · Accepted Answer

Graphing the two equations in the same coordinate system, we find that they intersect at two points: (4,3) and (3,4). These are the solutions to the system. Therefore, the answer is A, as it is the only choice that includes both of these points.

Find the Solution Set for the System by Graphing Both {x2+y2=25x+y=7\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 25 \\x + y = 7\end{array} \right.{x2+y2=25x+y=7​

Find the Solution Set for the System by Graphing Both $\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 25 \\x + y = 7\end{array} \right.$