Answer:
Since we have to solve this system graphically, we'll have to draw both lines.
To draw a line, simply build a little tables with two x,y values: for the first line we have
\begin{gathered}\begin{array}{c|c}x&-x+3\\0&3\\1&2\end{array}\end{gathered}
x
0
1
−x+3
3
2
So, you can draw the points (0,3) and (1,2), connect them, and you'll have the graph of the line y=-x+3y=−x+3
For the second line we have
\begin{gathered}\begin{array}{c|c}x&x+5\\0&5\\1&6\end{array}\end{gathered}
x
0
1
x+5
5
6
So, you can draw the points (0,5) and (1,6), connect them, and you'll have the graph of the line y=x+5y=x+5
Finally, we have to check where the two lines cross. If your drawing is accurate enough, you'll see that the point you're looking for is (-1, 4)
Explanation:
hope this helps
