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

Expert Answers

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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)

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