What is the point of intersection ( if any) of the lines y+x -2 = 0 and 2y-4x +5 = 0 ?

Sunday, March 27, 2011

Given the lines:

y + x -2 =
0

2y-4x +5 = 0

We need to find
the intersection points.

First, we will rewrite the
equations as functions of x.

==> y= -x + 2
...............(1)

==> y= (4x-5)/2
=

==> y= 2x -
5/2..............(2)

Now we will determine the point of
intersection when y= y

==> -x + 2 = 2x -
5/2

==> -3x = -5/2
-2

==> -3x = -9/2

We
will divide by -3.

==> x =
3/2

==> y= -x +2 = -3/2 +2 =
1/2

==> y=
1/2

Then, the intersection point is ( 3/2,
1/2)

Notes