What are x and y given that x + 2y = 5 and 2x +4y = 6?

Given the system of
equations:

x+2y =
5........(1).

2x+4y =
6......(2).

To solve for the solution for
(x,y).

We see that two lines a1x+b1y=c1 and a2x+b2y= c2 = 0
are parallel or have the same slope if a1/a2 = b1/b2 but not equal to
c1/c2.

a1 = 1, b1 = 2, and c1 = 5.  a2 = 2, b2 = 4 and c2 =
6. So a1/a2 = b1/b2 = 1/2. But c1/c2 = 5/6.

Therefore the
given lines  x + 2y = 5 and 2x +4y = 6 are parallel. So the lines do not
intersect.

Therefore there is
no solution which satisfy both system of
equations.equations.