Solve the following simultaneous equations. x + 3y = 2 , 2x + 8y = 6

We'll solve the system using substitution method and we'll
write x from the 1st equation, with respect to y:

x = 2 -
3y

We'll substitute x in the 2nd
equation:

2(2 - 3y) + 8y =
6

We'll remove the brackets:

4
- 6y + 8y = 6

We'll combine like
terms:

2y = 6 - 4

2y =
2

y  = 1

We'll substitute y in
the first equation:

x + 3 =
2

x = 2  - 3

x =
-1

The solution of the system is represented
by the pair (-1 ; 1).