Given:
The given equations are:
[tex]x=3[/tex]
[tex]y=-2x+1[/tex]
To find:
The intersection point of given equations by using a graph.
Solution:
We know that [tex]x=3[/tex] is a vertical line that intersect the x-axis at [tex]x=3[/tex].
For [tex]y=-2x+1[/tex], the table of values is:
x y
0 1
1 -1
Plot these two points on a coordinate plane and connect them by a straight line.
From the below graph it is clear that the given two lines intersect each other point (3,-5).
Therefore the required intersection point is [tex](x,y)=(3,-5)[/tex].