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

We'll try to solve the system using another
method: substitution method.

 x - 3y =
5

x = 5 + 3y (1)

We'll
substitute (1) in the second equation of the system:

2x + y
= 4

2(5 + 3y) + y = 4

We'll
remove the brackets:

10 + 6y + y =
4

We'll combine like terms:

10
+ 7y = 4

We'll subtract 10:

7y
= -6

We'll divide by
7:

y =
-6/7

We'll substitute y in
(1):

x = 5 - 18/7

x =
(35-18)/7

x =
17/7

The solution of the
system is {(17/7;-6/7)}