Respuesta :

boboafett1
yep they do, because if you plug in y for both equations, you get x=0. To find y, plug in 0 for either equation to get -7.  (0,-7) should work for both equations since the intersection point is the point where both equations meet.

By examine the system of equations we can conclude that the lines will be intersect at point (0,-7).

Given :

Linear equations - [tex]y = 2x -7[/tex]   ---- (1)

                               [tex]y=x-7[/tex]   ---- (2)

When two lines intersect at a point, that point is known as point of intersection. To determine the point of intersection the value of y in equation (2) wil be substituted in equation (1).

[tex]x-7=2x-7[/tex]

[tex]x = 0[/tex]

Now, substitute the value of x in equation (2).

[tex]y = -7[/tex]

So, the point of intersection is (0 , -7).

By examine the system of equations we can conclude that the lines will be intersect at point (0,-7).

For more information, refer the link given below:

https://brainly.com/question/19770987

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