Is $( 3,5 )$ a solution to the system $\left\{ \begin{array} { l }
x + y = 8 \
- x + y = 2
\end{array} \right.$ ? Use the given graph of the system to answer the question.
A) Yes, a solution
B) No, not a solution

Question

Is $( 3,5 )$ a solution to the system $\left\{ \begin{array} { l } 
x + y = 8 \
- x + y = 2
\end{array} \right.$ ? Use the given graph of the system to answer the question. 
A) Yes, a solution 
B) No, not a solution

Quizplus · Accepted Answer

We can check if $(3,5)$ is a solution by substituting the values into both equations:
\begin{align*}
x+y&=8 \
(3)+(5)&=8 \
8&=8 \
\
-x+y&=2 \
-(3)+(5)&=2 \
2&=2
\end{align*}
Both equations are true when we substitute in $(3,5)$, so it is a solution to the system.

Is (3,5)( 3,5 )(3,5) A Solution to the System {x+y=8−x+y=2\left\{ \begin{array} { l } x + y = 8 \\- x + y = 2\end{array} \right.{x+y=8−x+y=2​

Is $( 3,5 )$ A Solution to the System $\left\{ \begin{array} { l } x + y = 8 \\- x + y = 2\end{array} \right.$