Solve the following simultaneous equations. 2x – 3y = 5 , x – 2y = 4

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

-2x+4y=-8
(3)

We'll add (3) to (1):

-2x+
4y + 2x – 3y = -8+5

We'll eliminate x and we'll combine
like terms:

y = -3

We'll
substitute y in (2):

x – 2*(-3) =
4

 x + 6 = 4

x = 4 -
6

x = -2

The
solution of the system is represented by the pair of coordinates: (-2 ;
-3).