solve the system: 2x-5y= 3 x+ 4y = 8

We'll note the equations of the system
as:

2x-5y= 3 (1)

x+ 4y = 8
(2)

We'll solve the system using elimination method. For
this reason, we'll multiply (2) by -2:

-2x -8y = -16
(3)

Now, we'll add (3) to
(1):

 2x-5y-2x -8y=3-16

We'll
combine and eliminate like terms:

 -13y =
-13

We'll divide by -13 and we'll
get:

y =
1

We'll substitute y in
(1):

2x-5y= 3

2x =
3+5

2x = 8

We'll divide by
2:

x =
4

The solution of the system
is: {(4,1)}.