Respuesta :

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].

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