Verify if the lines y= 2x-3 , y= 3x+5 , y= x-11 meet at one point

Given the three lines:

y=
2x-3 .........(1)

y=
3x+5.........(2)

y=
x-11..........(3)

First we will determine the point of
intersection between the lines (1) and (2).

==> 2x-3
= 3x + 5

==> x = -8 => y=
-19

Then the point of intersection for (1) and (2) is (-8,
-19).

Now we will determine the intersection point between
(1) and (3).

==> 2x-3 =
x-11

==> x = -8 ==> x =
-19

Then the intersection point is
(-8,-19).

Then all three lines meet at the
same point which is (-8, -19).